The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^46+76x^47+71x^48+82x^49+98x^50+96x^51+83x^52+92x^53+47x^54+32x^55+61x^56+40x^57+36x^58+42x^59+29x^60+30x^61+18x^62+8x^63+7x^64+10x^65+10x^66+2x^67+4x^68+2x^69+3x^70

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 0.124 seconds.