The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+51x^38+120x^39+237x^40+354x^41+405x^42+532x^43+748x^44+836x^45+822x^46+1014x^47+1188x^48+1162x^49+1282x^50+1308x^51+1156x^52+1068x^53+945x^54+856x^55+702x^56+538x^57+369x^58+240x^59+176x^60+128x^61+84x^62+26x^63+15x^64+10x^65+8x^66+2x^70+1x^72

The gray image is a code over GF(2) with n=100, k=14 and d=38.
This code was found by Heurico 1.10 in 9.68 seconds.