The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+50x^39+133x^40+124x^41+61x^42+86x^43+113x^44+50x^45+33x^46+74x^47+68x^48+42x^49+23x^50+34x^51+51x^52+38x^53+11x^54+12x^55+18x^56+2x^57

The gray image is a code over GF(2) with n=90, k=10 and d=39.
This code was found by Heurico 1.10 in 86.9 seconds.