The generator matrix

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

generates a code of length 57 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+131x^46+370x^48+680x^50+862x^52+1025x^54+1084x^56+1018x^58+1043x^60+857x^62+565x^64+328x^66+157x^68+51x^70+12x^72+6x^74+1x^76+1x^84

The gray image is a code over GF(2) with n=114, k=13 and d=46.
This code was found by Heurico 1.16 in 8.13 seconds.