The generator matrix

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

generates a code of length 51 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+107x^36+586x^38+1363x^40+2512x^42+4228x^44+6186x^46+8018x^48+9374x^50+9913x^52+8416x^54+6379x^56+4148x^58+2442x^60+1114x^62+491x^64+158x^66+78x^68+18x^70+4x^72

The gray image is a code over GF(2) with n=102, k=16 and d=36.
This code was found by Heurico 1.10 in 136 seconds.