The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+70x^44+54x^46+118x^48+70x^50+83x^52+50x^54+35x^56+18x^58+3x^60+5x^64+3x^68+1x^72+1x^76

The gray image is a code over GF(2) with n=100, k=9 and d=44.
This code was found by Heurico 1.16 in 0.0494 seconds.