The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  1  1  2  1  1  2  1  2  1  1  1  1  1  2  2  1  0  1  0  1  0  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  0  0  0  2  2  2  2  0  2  2  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  0  2  2  2  2  2  2  0  2  0  0  0
 0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  0  2  2  2  0  2  2  0  0  0  0  0  0  0  2  2  0  0  2  2  2  0  0  0  0  2  0  2  2  0  0  2  2  0
 0  0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  0  2  2  0  0  0  0  0  0  0  0  2  2  0  2  2  0  2  2  0  2  0  0  2  2  2  0  0  0  0  2  2  2  0  0  2  0  2
 0  0  0  0  2  0  0  0  0  0  2  0  2  0  2  0  2  0  2  2  2  0  0  2  0  2  2  2  0  0  2  0  2  2  2  2  0  2  2  0  2  0  2  0  0  0  0  0  0  0  2  0  2  2
 0  0  0  0  0  2  0  0  0  2  0  0  2  0  0  2  2  2  2  0  2  0  2  2  0  2  0  2  0  2  0  2  2  2  0  0  2  2  0  0  0  2  2  2  0  0  0  2  0  2  2  0  0  0
 0  0  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  0  2  0  0  2  2  0  2  2  0  2  2  2  2  2  0  0  0  2  2  2  2  0  2  0  2
 0  0  0  0  0  0  0  2  0  2  2  2  0  2  0  2  0  0  2  2  2  0  0  2  2  2  2  2  2  2  0  2  0  0  2  2  2  2  0  0  0  0  0  2  0  0  2  2  0  2  0  2  0  2
 0  0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  2  2  0  2  2  2  0  0  0  2  0  2  0  2  2  0  2  2  0  2  2  2  2  0  0  0  0  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+80x^46+30x^47+128x^48+160x^51+109x^54+236x^55+60x^56+80x^59+56x^62+6x^63+63x^64+10x^70+4x^72+1x^86

The gray image is a code over GF(2) with n=108, k=10 and d=46.
This code was found by Heurico 1.16 in 4.48 seconds.