The generator matrix

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

generates a code of length 56 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+69x^48+114x^49+131x^50+156x^51+142x^52+158x^53+133x^54+124x^55+130x^56+142x^57+120x^58+106x^59+89x^60+74x^61+97x^62+58x^63+63x^64+48x^65+28x^66+34x^67+17x^68+8x^69+2x^70+2x^71+1x^72+1x^74

The gray image is a code over GF(2) with n=112, k=11 and d=48.
This code was found by Heurico 1.16 in 0.464 seconds.