The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+14x^50+13x^52+2x^54+1x^56+1x^60

The gray image is a code over GF(2) with n=100, k=5 and d=50.
This code was found by Heurico 1.16 in 0.0228 seconds.