The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+189x^40+483x^42+820x^44+922x^46+1129x^48+1114x^50+1150x^52+1008x^54+719x^56+379x^58+197x^60+62x^62+18x^64+1x^76

The gray image is a code over GF(2) with n=100, k=13 and d=40.
This code was found by Heurico 1.10 in 2.63 seconds.