The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1
0 2X 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 0 0 2X 2X 0 2X 2X 2X 0 2X 0 2X 0 0 2X 0 0 2X 0 2X 2X 0 2X 0 2X 2X 0 0 2X 2X 0 2X 2X 2X 2X 0 0 0 0 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 0 0 0 0 2X 2X 0 0 2X 0 0 2X 0 0 2X 2X 0 0 0
0 0 2X 0 0 0 0 0 0 0 0 0 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 0 2X 2X 2X 0 0 2X 0 2X 2X 2X 0 0 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 0 2X 0 2X 0 0 2X 2X 0 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 2X 2X 0 2X 2X 2X 0 2X 0 0 2X 2X 0 2X 2X 0
0 0 0 2X 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 2X 0 0 0 2X 0 2X 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 2X 0 2X 0 0 2X 2X 2X 0 0 2X 0 0 2X 0 2X 2X 0 0 2X 2X 2X 2X 0 0 0 0 2X 2X 2X 0 2X 0 2X 0 2X 2X 0 2X 0 2X 2X 0 0 0 2X 0 0
0 0 0 0 2X 0 0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 0 2X 2X 2X 0 2X 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 0 2X 0 0 2X 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 2X 2X 2X 0 2X 0 0 2X 0 0 0 0 2X 2X 2X 0 0 0
0 0 0 0 0 2X 0 0 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 0 0 2X 0 0 2X 2X 2X 0 0 2X 2X 0 2X 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 0 2X 2X 0 0 0 2X 2X 2X 0 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 0 0 0
0 0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 0 0 0 2X 2X 2X 0 2X 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 0 2X 0 0 0 2X 2X 2X 0 0 0 2X 2X 2X 0 0 2X 0 2X 0 2X 0 0 0 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 2X 0 0 2X 2X 0 0 0 2X 0 2X 0 0 2X 0
0 0 0 0 0 0 0 2X 2X 0 2X 2X 0 0 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 2X 0 2X 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 0 0 2X 0 0 0 0 2X 2X 0 2X 0 0
generates a code of length 96 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 88.
Homogenous weight enumerator: w(x)=1x^0+34x^88+24x^90+26x^92+37x^94+128x^95+1561x^96+128x^97+18x^98+30x^100+34x^102+12x^104+14x^106+1x^190
The gray image is a code over GF(2) with n=768, k=11 and d=352.
This code was found by Heurico 1.16 in 0.906 seconds.