The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  2  0  1  1  1  0  1  2  0  0  1  0  1  1  0  1  1  1  0  1  1  1  1  2  2  1  2  1  1  1  2  1  1
 0  1  0  1  0  1  1  0  0  1  1  1  1  2  2  2  1  1  3  1  0  0  2  1  3  2  0  3  3  0  2  2  2  1  2  1  1  3  1  3  2  3  1  0  0
 0  0  1  1  1  0  1  0  1  1  0  2  1  1  1  0  1  0  0  1  1  1  1  0  2  2  1  0  1  3  1  0  1  3  1  0  3  1  3  2  0  1  1  0  0
 0  0  0  2  0  0  0  0  0  0  0  2  0  2  0  2  0  2  0  0  0  0  0  2  2  2  2  0  0  0  0  2  2  0  2  2  2  0  0  0  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  2  0  0  0  0  2  2  2  0  0  0  0  0  2  0  0  0  2  2  2  0  2  2  0  2  2  2  2  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  0  0  2  0  2  0  2  0  0  0  2  0  2  2  2  2  0  2  2  2  0  0  0  2  2  0  2  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  2  2  0  2  0  2  2  0  2  2  2  0  2  2  2  2  2  2  2  0  2  0  2  0  2  0  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  0  2  0  2  2  2  2  2  0  0  2  0  0  2  0  0  0  2  2  2  2
 0  0  0  0  0  0  0  0  2  0  0  2  2  0  2  2  2  2  2  2  0  0  0  2  0  2  2  0  2  2  2  0  2  2  2  2  0  0  0  0  0  2  0  2  2
 0  0  0  0  0  0  0  0  0  2  0  2  0  2  0  2  2  0  2  2  2  2  0  0  2  2  2  2  0  0  0  0  2  2  0  2  2  0  2  2  2  2  2  2  2
 0  0  0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  2  0  2  2  0  2  0  2  0  0  0  2  2  2  2  0  0  0  0  0  0  0  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+115x^32+156x^34+601x^36+798x^38+1755x^40+1934x^42+2916x^44+2464x^46+2441x^48+1464x^50+1062x^52+318x^54+257x^56+30x^58+60x^60+4x^62+7x^64+1x^68

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 21.5 seconds.