The generator matrix

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

generates a code of length 53 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+13x^48+28x^49+29x^50+32x^51+29x^52+8x^53+23x^54+32x^55+17x^56+28x^57+7x^58+3x^60+1x^62+1x^64+2x^66+2x^82

The gray image is a code over GF(2) with n=106, k=8 and d=48.
This code was found by Heurico 1.16 in 0.0285 seconds.