The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  0  0  0  1  1  1  1  2  2  2  0  0  0  1  1  1  1  2  0  2  0  2  0  1  2  1  1  1  2  0  2  0  2  2  0  1  1  2  1  1  2  0  2  0  2  2  0  1  1  1  2  1  2  2  2  2  0  0  0
 0  2  0  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  2  2  0  0  0  2  2  0  2  2  2  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  2  2  0  0  2  2  0  2  2  0  0  0  2  2  0  0  2  2  2  0  2  0  0  2  0  2  0  2  2  0  2  2  0
 0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  2  2  0  2  2  2  2  0  0  0  0  2  2  0  2  2  2  2  0  0  0  0  2  0  2  0  2  2  2  2  0  0  0  0  2  2  0  0  2  2  0  0  0  2  2

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

Homogenous weight enumerator: w(x)=1x^0+15x^96

The gray image is a code over GF(2) with n=180, k=4 and d=96.
This code was found by Heurico 1.16 in 0.156 seconds.