The generator matrix

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

generates a code of length 52 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+132x^46+225x^48+134x^50+160x^52+110x^54+80x^56+94x^58+34x^60+30x^62+6x^64+12x^66+6x^68

The gray image is a code over GF(2) with n=104, k=10 and d=46.
This code was found by Heurico 1.16 in 0.144 seconds.