The generator matrix

1 0 0 0 0 1 1 1 2 1 1 2 1 1 2 2 0 0 1 0 1 1 1 0 1 1 1 1 2 1 0 2 2 1 2 1 1 0 1 1 0 2 1 2 1 2 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 2 1 1 1 2 1 0 1 1 1 2 1 1 1 2 0 1 2 0 0 1 2 1 2 2 0 1 0 1 1 1 1 1 1 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 3 1 1 1 1 3 3 1 1 0 2 1 2 2 2 2 2 1 3 2 0 1 1 1 2 1 2 3 2 2 2 2 3 1 1 2 0 3 0 2 1 0 2 1 3 1 1 1 2 1 3 2 2 3 2 1 2 3 1 0 1 1 2 1 1 1 1 1 2 2 0 1 3 1 3 1
0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 1 3 2 2 3 0 0 3 0 3 0 2 1 3 2 0 1 0 3 2 0 2 2 1 2 0 3 0 3 3 1 2 0 3 3 3 1 3 2 0 1 0 3 1 0 2 1 1 2 0 1 3 1 2 3 2 1 1 2 3 2 1 0 1 2 0 3 1 2 3 1 0 3 1 1 3 3 1
0 0 0 1 0 1 2 3 1 0 1 1 2 3 0 1 1 3 3 2 0 1 2 1 1 1 2 0 2 2 3 0 1 3 2 0 0 0 0 3 1 3 1 3 1 1 0 3 1 2 0 1 2 2 0 3 3 1 0 2 0 3 2 2 1 1 0 0 0 3 2 0 2 0 3 2 1 3 1 1 1 1 1 0 3 2 3 2 2 3 3 0 2 0 2 2
0 0 0 0 1 2 1 3 3 1 3 0 0 2 3 3 1 2 0 3 3 1 2 3 0 1 2 3 1 3 1 0 2 1 1 2 0 0 1 3 1 2 3 0 3 1 1 3 0 1 1 2 0 1 3 2 1 0 2 3 0 2 1 2 0 0 0 1 2 0 1 1 1 1 3 3 0 1 1 3 2 2 3 2 3 1 0 0 2 2 3 1 3 1 3 3

generates a code of length 96 over Z4 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+88x^89+70x^90+72x^91+118x^92+100x^93+83x^94+54x^95+70x^96+54x^97+58x^98+22x^99+34x^100+30x^101+16x^102+28x^103+10x^104+14x^105+16x^106+10x^107+12x^108+22x^109+5x^110+4x^111+5x^112+8x^113+8x^114+4x^116+2x^119+2x^120+4x^121

The gray image is a code over GF(2) with n=192, k=10 and d=89.
This code was found by Heurico 1.10 in 0.109 seconds.