The generator matrix

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

generates a code of length 96 over Z4 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+27x^90+42x^91+55x^92+66x^93+62x^94+68x^95+42x^96+28x^97+10x^98+16x^99+13x^100+4x^101+15x^102+6x^103+3x^104+4x^105+5x^106+10x^107+5x^108+6x^109+5x^110+2x^111+4x^112+4x^114+5x^116+4x^117

The gray image is a code over GF(2) with n=192, k=9 and d=90.
This code was found by Heurico 1.10 in 0.016 seconds.