The generator matrix

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

generates a code of length 51 over Z4 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+160x^42+349x^44+490x^46+559x^48+532x^50+531x^52+508x^54+458x^56+296x^58+119x^60+58x^62+30x^64+4x^66+1x^68

The gray image is a code over GF(2) with n=102, k=12 and d=42.
This code was found by Heurico 1.16 in 1.62 seconds.