The generator matrix

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

generates a code of length 54 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+21x^50+66x^51+35x^52+29x^54+42x^55+21x^56+9x^58+10x^59+3x^62+6x^63+5x^64+2x^66+4x^67+1x^68+1x^72

The gray image is a code over GF(2) with n=108, k=8 and d=50.
This code was found by Heurico 1.10 in 0 seconds.