The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+123x^36+138x^37+445x^38+562x^39+978x^40+1072x^41+1614x^42+2008x^43+2595x^44+3046x^45+3538x^46+4238x^47+4477x^48+5104x^49+5011x^50+5318x^51+4572x^52+4576x^53+3827x^54+3138x^55+2692x^56+1964x^57+1500x^58+984x^59+759x^60+426x^61+396x^62+126x^63+172x^64+52x^65+51x^66+10x^67+15x^68+6x^69+2x^70

The gray image is a code over GF(2) with n=100, k=16 and d=36.
This code was found by Heurico 1.10 in 148 seconds.