The generator matrix

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

generates a code of length 55 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+42x^48+76x^49+74x^50+104x^51+70x^52+72x^53+106x^54+76x^55+68x^56+62x^57+46x^58+38x^59+27x^60+24x^61+44x^62+24x^63+12x^64+18x^65+14x^66+14x^67+3x^68+4x^69+2x^70+1x^72+2x^74

The gray image is a code over GF(2) with n=110, k=10 and d=48.
This code was found by Heurico 1.16 in 0.127 seconds.