The generator matrix

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

generates a code of length 54 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+69x^46+102x^47+99x^48+158x^49+170x^50+160x^51+163x^52+148x^53+126x^54+114x^55+83x^56+106x^57+114x^58+90x^59+95x^60+74x^61+49x^62+40x^63+31x^64+24x^65+16x^66+6x^67+6x^68+2x^69+2x^72

The gray image is a code over GF(2) with n=108, k=11 and d=46.
This code was found by Heurico 1.10 in 0.156 seconds.