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 0 0 2 0 0 2 2 0 2 1 3 3 3 1 1 1 1 1 0 1 1 1 3 1 2 1 2 1 0 1 1 0 3 2 3 1 1 1 1 1 1 1 1 1 1 1 3 0
0 0 1 0 0 0 1 1 1 2 1 3 2 2 0 3 3 0 0 3 2 1 1 1 2 3 3 1 2 0 2 1 2 0 3 1 1 2 3 3 0 0 0 2 1 0 3 0 2 2 1 0 0
0 0 0 1 0 1 2 3 3 1 1 2 2 1 3 3 0 3 0 3 1 3 3 1 2 0 0 1 3 2 2 3 1 2 0 1 0 0 1 0 2 2 3 1 1 1 0 0 0 2 0 0 2
0 0 0 0 1 2 0 0 0 1 1 1 3 1 1 0 3 2 3 3 3 1 0 3 2 1 0 3 2 1 3 2 2 1 2 3 1 2 1 0 3 0 3 1 1 2 3 3 0 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+25x^46+80x^47+91x^48+96x^49+94x^50+86x^51+86x^52+70x^53+41x^54+44x^55+66x^56+46x^57+37x^58+24x^59+30x^60+34x^61+22x^62+20x^63+14x^64+10x^65+5x^66+2x^67

The gray image is a code over GF(2) with n=106, k=10 and d=46.
This code was found by Heurico 1.10 in 0.047 seconds.