The generator matrix

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

generates a code of length 53 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+63x^46+112x^47+95x^48+44x^50+144x^51+44x^52+93x^54+144x^55+81x^56+20x^58+112x^59+20x^60+29x^62+12x^64+7x^70+3x^72

The gray image is a code over GF(2) with n=106, k=10 and d=46.
This code was found by Heurico 1.16 in 17 seconds.