The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  2  1  1  0  0  1  1  2  1  1  0  0  2  1  0  2  1  0  1  1  1  1  1  0  1  1  1  0  1  2  0  2  2  1  1  0  1  0  0
 0  1  0  0  0  0  0  0  0  1  1  1  1  1  1  1  3  2  2  3  0  1  1  1  2  1  0  2  2  2  0  3  1  3  1  2  0  1  1  2  1  2  1  0  1  1  0  0  1  1
 0  0  1  0  0  0  1  1  1  0  2  0  1  3  1  1  0  1  1  2  1  2  3  1  0  3  1  3  1  0  1  1  3  2  2  0  1  3  3  2  2  1  3  1  2  0  1  3  3  3
 0  0  0  1  0  1  1  0  1  1  0  3  2  3  2  1  2  0  1  1  3  0  0  3  2  2  1  3  1  1  3  0  1  0  0  3  0  1  0  1  2  1  2  3  3  1  2  1  2  0
 0  0  0  0  1  1  0  1  1  2  3  3  0  1  3  0  3  1  3  0  2  3  0  1  1  2  0  3  2  0  3  1  0  1  1  2  0  3  2  0  2  0  3  2  0  3  2  1  2  3
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  0  2  0  2  2  2  0  0  0  0  2  2  0  2  2  0  2  0  2  2  0  2  2  2  0  0  2  2
 0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  0  2  2  0  0  2  2  0  0  0  2  2  2  0  0  0  2  2  0  2  2  0  0  0  0  0  2  0  0  2  2  0  0  0  0
 0  0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  0  0  2  0  2  2  2  2  0  0  0  2  2  2  0  2  0  2  0  2  2  0  2  0  0  2  2  0  2  2  2  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+202x^40+490x^42+737x^44+954x^46+1168x^48+1160x^50+1154x^52+912x^54+738x^56+398x^58+202x^60+54x^62+19x^64+2x^68+1x^76

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 6.85 seconds.