The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^42+391x^44+504x^46+531x^48+482x^50+638x^52+464x^54+438x^56+264x^58+155x^60+72x^62+22x^64+2x^66

The gray image is a code over GF(2) with n=102, k=12 and d=42.
This code was found by Heurico 1.10 in 0.594 seconds.