The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^50+48x^51+49x^52+64x^53+61x^54+42x^55+43x^56+36x^57+19x^58+20x^59+13x^60+12x^61+17x^62+12x^63+18x^64+12x^65+5x^66+4x^67+2x^68+4x^69+2x^70+2x^71+2x^72+2x^74

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 0.0562 seconds.