The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+147x^32+360x^34+1096x^36+1780x^38+3219x^40+4160x^42+5547x^44+5312x^46+4897x^48+2904x^50+2019x^52+740x^54+401x^56+96x^58+73x^60+8x^62+7x^64+1x^68

The gray image is a code over GF(2) with n=90, k=15 and d=32.
This code was found by Heurico 1.16 in 73.2 seconds.