The generator matrix

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

generates a code of length 52 over Z4 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+20x^49+20x^50+20x^52+40x^53+10x^54+10x^56+4x^57+2x^62+1x^64

The gray image is a code over GF(2) with n=104, k=7 and d=49.
This code was found by Heurico 1.16 in 0.737 seconds.