The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  2  1  2  1  1  1  1  1  2  1  2  1  1  1  1  2  2  2  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  0  0  0  0  2  2  2  2  0  2  2  2  0  2  2  2  0  0  2  2  2  2  2  0  2  0  0  0  2  2  2  2  0  0
 0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  2  0  0  0  2  2  0  0  2  0  2  0  2  2  0  0  0  0  0  2  0  0  2  2  2  2  2  0  0  0
 0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  2  2  2  0  2  2  0  0  0  0  0  2  0  2  0  2  2  2  0  0  0  0  0  2  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  0  0  0  0  0  0  2  0  0  2  2  2  0  2  2  2  0  2  2  2  0  0  2  2  0  2  0  2  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2  0  0  2  2  2  2  0  2  2  0  2  2  2  0  2  2  2  0  0  2  0  0  0  2  2  0  2  0  0
 0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  2  2  0  2  2  0  2  2  0  2  0  0  0  2  0  2  0  2  2  2  0  0  0  2  2  0  0  0  0  0  2  2  2  2
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  0  2  2  2  2  2  0  2  2  0  0  0  0  0  2  0  0  0  2  2  2  0  2  0  2  0  0  2  2  2  2  2  2
 0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  0  0  0  2  0  0  0  2  0  2  0  0  0  2  0  2  2  2  2  2  0  0  0  2  2  0  2  0  2  2  2  0  0

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

Homogenous weight enumerator: w(x)=1x^0+59x^40+4x^42+135x^44+52x^46+206x^48+140x^50+195x^52+60x^54+97x^56+49x^60+20x^64+5x^68+1x^80

The gray image is a code over GF(2) with n=100, k=10 and d=40.
This code was found by Heurico 1.16 in 0.179 seconds.