The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^36+80x^38+298x^40+236x^42+376x^44+268x^46+324x^48+164x^50+150x^52+20x^54+30x^56+16x^60+3x^64

The gray image is a code over GF(2) with n=90, k=11 and d=36.
This code was found by Heurico 1.16 in 0.425 seconds.