The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^32+255x^34+659x^36+1084x^38+1499x^40+2051x^42+2486x^44+2502x^46+2198x^48+1661x^50+983x^52+536x^54+239x^56+81x^58+32x^60+22x^62+3x^64

The gray image is a code over GF(2) with n=90, k=14 and d=32.
This code was found by Heurico 1.16 in 37.9 seconds.