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  1  1  2  2  1  1  1  1  1  1  1  2  1  2  1  1  2  1  2  1  2  1  1  1
 0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  0  0  0  0  2  2  2  0  2  0  2  2  0  2  2  0  2  2  0  2  0  2  0  0  0
 0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  0  2  0  2  2  2  0  2  0  0  0  0  2  2  2  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  2  0  0  0  0  2  0  0  2  0  2  2  2  0  0  2  2  2  2  2  2  2  2  2  2  2  0  2  0  2  2  2  2  2  2  2  0  2  0  0  0  2  2  0  2  2  2  0  2  2  2  0  0
 0  0  0  0  2  0  0  0  2  0  2  2  0  2  0  2  2  2  0  0  0  0  0  0  2  2  0  2  0  2  2  0  2  0  2  2  0  2  2  0  0  2  0  2  0  2  2  2  2  0  0  0  2  2  0  0
 0  0  0  0  0  2  0  0  2  0  2  0  2  0  2  2  2  0  2  0  0  0  0  2  0  2  0  2  2  0  0  0  2  2  0  2  0  0  0  2  2  0  2  2  2  0  2  2  2  2  0  2  0  2  0  0
 0  0  0  0  0  0  2  0  2  2  0  0  2  2  0  2  0  2  2  0  0  0  2  2  2  2  0  0  0  2  0  2  0  0  0  2  2  2  2  0  0  0  2  0  2  2  2  0  2  2  2  0  2  0  0  0
 0  0  0  0  0  0  0  2  2  2  0  2  2  0  0  2  2  0  0  2  0  2  2  0  2  2  2  2  2  2  2  2  0  0  0  0  2  2  0  0  0  2  0  2  2  0  2  0  2  2  0  2  2  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+35x^48+27x^50+20x^51+37x^52+40x^53+35x^54+60x^55+21x^56+80x^57+21x^58+44x^59+20x^60+8x^61+24x^62+4x^63+6x^64+10x^66+7x^68+5x^70+1x^72+5x^74+1x^98

The gray image is a code over GF(2) with n=112, k=9 and d=48.
This code was found by Heurico 1.16 in 0.0749 seconds.