The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+102x^42+42x^44+58x^46+17x^48+20x^50+2x^52+6x^54+2x^56+2x^58+4x^62

The gray image is a code over GF(2) with n=90, k=8 and d=42.
This code was found by Heurico 1.16 in 0.449 seconds.