The generator matrix

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

generates a code of length 52 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+35x^48+42x^49+32x^50+42x^51+19x^52+16x^53+18x^54+16x^55+4x^56+4x^57+6x^58+4x^59+6x^62+2x^65+2x^66+2x^67+5x^68

The gray image is a code over GF(2) with n=104, k=8 and d=48.
This code was found by Heurico 1.16 in 0.024 seconds.