The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+151x^36+256x^38+525x^40+496x^42+644x^44+572x^46+642x^48+380x^50+267x^52+84x^54+61x^56+4x^58+10x^60+3x^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 1.58 seconds.