The generator matrix

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

generates a code of length 56 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+64x^50+98x^52+74x^54+81x^56+62x^58+52x^60+44x^62+20x^64+8x^66+1x^68+2x^70+1x^72+2x^74+1x^80+1x^84

The gray image is a code over GF(2) with n=112, k=9 and d=50.
This code was found by Heurico 1.16 in 0.185 seconds.