The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+161x^40+112x^42+421x^44+384x^46+709x^48+544x^50+724x^52+384x^54+384x^56+112x^58+109x^60+40x^64+10x^68+1x^72

The gray image is a code over GF(2) with n=100, k=12 and d=40.
This code was found by Heurico 1.16 in 2.17 seconds.