The generator matrix

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

generates a code of length 45 over Z4 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+17x^42+28x^43+19x^44+20x^45+9x^46+8x^47+8x^48+4x^49+3x^50+4x^51+3x^52+1x^54+1x^56+2x^58

The gray image is a code over GF(2) with n=90, k=7 and d=42.
This code was found by Heurico 1.10 in 0 seconds.