The generator matrix

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

generates a code of length 54 over Z4 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+46x^49+83x^50+58x^51+34x^52+60x^53+59x^54+32x^55+19x^56+10x^57+29x^58+22x^59+5x^60+4x^61+13x^62+12x^63+4x^64+4x^65+6x^66+4x^67+1x^68+4x^69+2x^74

The gray image is a code over GF(2) with n=108, k=9 and d=49.
This code was found by Heurico 1.10 in 1.38 seconds.