The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+95x^32+104x^33+278x^34+358x^35+622x^36+708x^37+1047x^38+1290x^39+1556x^40+1832x^41+2035x^42+2440x^43+2487x^44+2738x^45+2601x^46+2550x^47+2067x^48+2064x^49+1657x^50+1262x^51+1062x^52+624x^53+473x^54+270x^55+262x^56+112x^57+93x^58+20x^59+35x^60+10x^61+7x^62+2x^63+3x^64+1x^66+2x^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 75.2 seconds.