The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+138x^36+302x^38+529x^40+454x^42+657x^44+554x^46+642x^48+362x^50+274x^52+112x^54+51x^56+8x^58+11x^60+1x^64

The gray image is a code over GF(2) with n=90, k=12 and d=36.
This code was found by Heurico 1.16 in 1.4 seconds.