The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^41+161x^42+196x^43+216x^44+228x^45+247x^46+272x^47+247x^48+266x^49+301x^50+270x^51+282x^52+272x^53+249x^54+202x^55+203x^56+142x^57+72x^58+78x^59+42x^60+36x^61+24x^62+6x^63+2x^65+2x^66+1x^72

The gray image is a code over GF(2) with n=100, k=12 and d=41.
This code was found by Heurico 1.16 in 1.58 seconds.