The generator matrix

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

generates a code of length 52 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+44x^50+44x^52+20x^54+16x^56+3x^64

The gray image is a code over GF(2) with n=104, k=7 and d=50.
This code was found by Heurico 1.16 in 0.0237 seconds.