The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+134x^50+223x^52+156x^54+160x^56+92x^58+72x^60+64x^62+63x^64+24x^66+21x^68+8x^70+4x^72+2x^74

The gray image is a code over GF(2) with n=112, k=10 and d=50.
This code was found by Heurico 1.16 in 0.313 seconds.