The generator matrix

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

generates a code of length 99 over Z4 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+130x^88+376x^90+404x^92+434x^94+434x^96+472x^98+352x^100+378x^102+268x^104+218x^106+236x^108+164x^110+107x^112+54x^114+48x^116+16x^118+4x^120

The gray image is a code over GF(2) with n=198, k=12 and d=88.
This code was found by Heurico 1.10 in 1.34 seconds.