The generator matrix

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

generates a code of length 97 over Z4 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+125x^88+239x^90+290x^92+336x^94+231x^96+149x^98+163x^100+109x^102+109x^104+92x^106+80x^108+39x^110+40x^112+24x^114+15x^116+4x^118+2x^120

The gray image is a code over GF(2) with n=194, k=11 and d=88.
This code was found by Heurico 1.10 in 0.329 seconds.