The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  1  1  1  2  1  1  2  1  1  2  1  1  2  1  2  2  2  2  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  0  0  0  2  2  2  2  0  2  2  0  2  2  0  2  2  0  0  0  0  2  0  0  0  2  2  0  2  0  2  2  0  2  0  0  2  2  2  0
 0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  0  2  2  2  0  2  2  0  0  0  0  0  0  0  2  2  0  2  2  2  2  0  2  0  0  0  0  2  0  2  2  0  0  0  0  0
 0  0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  0  2  2  0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  2  2  0  0  2  2  0  2  2  2  0  0  2  0  2  0  0  0  2  0
 0  0  0  0  2  0  0  0  0  0  2  0  2  0  2  0  2  0  2  2  2  0  0  2  0  2  2  2  2  2  2  2  0  0  0  0  0  0  2  2  0  2  2  2  0  0  0  2  0  0  2  2  2  2  2  2
 0  0  0  0  0  2  0  0  0  2  0  0  2  0  0  2  2  2  2  0  2  0  2  2  0  2  0  0  2  2  2  0  2  0  2  2  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  0  0  0  0  0
 0  0  0  0  0  0  2  0  0  2  0  2  0  2  0  0  0  2  0  0  0  2  2  2  2  2  0  0  2  0  2  0  2  2  0  0  2  2  2  0  2  0  0  2  0  2  0  0  0  2  2  2  0  0  2  0
 0  0  0  0  0  0  0  2  0  2  2  2  0  2  0  2  0  0  2  2  2  0  0  2  2  2  2  0  0  2  0  0  2  0  0  0  2  0  0  0  2  0  2  2  0  0  2  2  2  0  2  0  0  0  2  0
 0  0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  2  2  0  2  0  2  2  2  0  2  2  2  2  0  0  2  0  2  2  2  0  2  0  0  0  0  0  2  0  0  2  2  0

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

Homogenous weight enumerator: w(x)=1x^0+163x^48+18x^50+120x^52+120x^54+231x^56+92x^58+99x^60+24x^62+120x^64+2x^66+20x^68+13x^72+1x^92

The gray image is a code over GF(2) with n=112, k=10 and d=48.
This code was found by Heurico 1.16 in 31.6 seconds.