The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+166x^38+330x^40+282x^42+314x^44+254x^46+258x^48+216x^50+123x^52+64x^54+27x^56+10x^58+3x^60

The gray image is a code over GF(2) with n=90, k=11 and d=38.
This code was found by Heurico 1.10 in 0.344 seconds.