The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+210x^40+460x^42+836x^44+854x^46+1146x^48+1152x^50+1211x^52+948x^54+710x^56+388x^58+208x^60+38x^62+29x^64+1x^84

The gray image is a code over GF(2) with n=100, k=13 and d=40.
This code was found by Heurico 1.16 in 7.01 seconds.