The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^46+58x^47+81x^48+106x^49+89x^50+76x^51+85x^52+92x^53+49x^54+62x^55+47x^56+30x^57+39x^58+42x^59+35x^60+26x^61+22x^62+16x^63+3x^64+12x^66+2x^67+4x^68+2x^69+2x^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 0.161 seconds.