The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+82x^41+144x^42+182x^43+219x^44+236x^45+271x^46+284x^47+264x^48+260x^49+287x^50+272x^51+286x^52+236x^53+226x^54+232x^55+169x^56+170x^57+116x^58+50x^59+46x^60+32x^61+11x^62+4x^63+6x^64+8x^65+1x^66+1x^68

The gray image is a code over GF(2) with n=100, k=12 and d=41.
This code was found by Heurico 1.10 in 0.75 seconds.