The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+12x^89+23x^90+50x^91+51x^92+46x^93+63x^94+48x^95+39x^96+34x^97+22x^98+18x^99+17x^100+26x^101+8x^102+4x^103+12x^104+2x^105+5x^106+8x^107+2x^108+2x^109+5x^110+3x^112+2x^113+2x^116+1x^120+2x^121+2x^122+2x^125

The gray image is a code over GF(2) with n=192, k=9 and d=89.
This code was found by Heurico 1.09 in 0.031 seconds.