The generator matrix

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

generates a code of length 90 over Z4 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+77x^88+128x^90+32x^92+15x^96+3x^120

The gray image is a code over GF(2) with n=180, k=8 and d=88.
This code was found by Heurico 1.16 in 20.1 seconds.