The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^46+64x^47+111x^48+102x^49+75x^50+96x^51+93x^52+60x^53+44x^54+52x^55+37x^56+60x^57+46x^58+24x^59+29x^60+28x^61+26x^62+20x^63+15x^64+6x^65+7x^66+2x^68

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 0.12 seconds.