The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^46+247x^48+318x^50+282x^52+254x^54+258x^56+192x^58+176x^60+122x^62+51x^64+18x^66+6x^68+6x^70+2x^72+1x^80

The gray image is a code over GF(2) with n=108, k=11 and d=46.
This code was found by Heurico 1.16 in 6.34 seconds.