The generator matrix

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

generates a code of length 51 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+67x^46+122x^48+141x^50+48x^52+47x^54+32x^56+25x^58+10x^60+2x^62+9x^64+2x^66+2x^68+4x^70

The gray image is a code over GF(2) with n=102, k=9 and d=46.
This code was found by Heurico 1.10 in 0.015 seconds.