The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^90+6x^92+7x^96+2x^108

The gray image is a code over GF(2) with n=180, k=6 and d=90.
This code was found by Heurico 1.16 in 0.183 seconds.