The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+38x^39+110x^40+196x^41+265x^42+318x^43+372x^44+434x^45+479x^46+502x^47+556x^48+536x^49+573x^50+560x^51+517x^52+580x^53+476x^54+408x^55+387x^56+312x^57+222x^58+144x^59+99x^60+50x^61+32x^62+12x^63+6x^64+4x^65+2x^67+1x^86

The gray image is a code over GF(2) with n=100, k=13 and d=39.
This code was found by Heurico 1.10 in 2.57 seconds.