The generator matrix

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

generates a code of length 53 over Z4 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+313x^42+733x^44+1153x^46+1609x^48+1939x^50+2379x^52+2410x^54+2148x^56+1663x^58+1075x^60+621x^62+216x^64+82x^66+29x^68+8x^70+2x^72+2x^74+1x^82

The gray image is a code over GF(2) with n=106, k=14 and d=42.
This code was found by Heurico 1.16 in 60.1 seconds.