The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+31x^38+26x^39+144x^40+142x^41+237x^42+258x^43+347x^44+388x^45+494x^46+546x^47+533x^48+644x^49+561x^50+700x^51+536x^52+592x^53+465x^54+422x^55+354x^56+254x^57+199x^58+82x^59+107x^60+28x^61+49x^62+14x^63+24x^64+11x^66+2x^68+1x^78

The gray image is a code over GF(2) with n=100, k=13 and d=38.
This code was found by Heurico 1.16 in 6.99 seconds.