The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+102x^36+421x^38+1014x^40+1686x^42+2556x^44+3664x^46+4345x^48+4835x^50+4719x^52+3769x^54+2694x^56+1610x^58+790x^60+354x^62+136x^64+43x^66+25x^68+2x^72+2x^74

The gray image is a code over GF(2) with n=100, k=15 and d=36.
This code was found by Heurico 1.10 in 35.1 seconds.