The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+73x^48+34x^50+60x^52+28x^54+44x^56+2x^58+8x^60+3x^64+2x^72+1x^80

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 0.0524 seconds.