The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+38x^37+144x^38+324x^39+428x^40+604x^41+818x^42+1072x^43+1353x^44+1522x^45+1844x^46+2080x^47+2223x^48+2410x^49+2529x^50+2524x^51+2484x^52+2304x^53+2004x^54+1724x^55+1317x^56+932x^57+702x^58+504x^59+319x^60+230x^61+134x^62+80x^63+62x^64+22x^65+15x^66+12x^67+4x^68+2x^69+2x^70+1x^72

The gray image is a code over GF(2) with n=100, k=15 and d=37.
This code was found by Heurico 1.10 in 36.5 seconds.