The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  2  1  1  2  1  1  1  2  1  1  1  2  1  1
 0  2  0  0  0  0  0  0  0  2  2  2  0  2  0  0  2  0  2  2  0  0  0  0  0  2  0  2  0  0  0  2  2  2  0  2  0  0  2  2  2  2  0  2  2  2  0  2  0  0  0  0  2
 0  0  2  0  0  0  0  0  2  2  2  2  0  0  0  2  0  2  2  0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  0  0  2  0  0  2  0  2  2  2  0  0  0  2  2  2
 0  0  0  2  0  0  0  0  2  0  0  2  0  2  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2  2  0  0  2  2  0  2  0  2  0  2  0  2  0  0  2  2  0  0  2  2  0
 0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  2  2  0  0  2  2  2  2  2  0  0  0  2  0  0  0  2  0  0  0  2  2  0  0  2  0  2  2  2  0  2  0  0  0  2  2  0  0
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  0  2  2  0  0  0  2  2  2  2  0  2  0  0  2  0  2  0  2  2  2  0  0  0  2  2  2  0  0  0  0  0  0  0  2  2
 0  0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  2  0  0  0  2  2  0  0  0  0  2  2  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  0  2  0  2  2  2  0  2
 0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  0  0  0  2  2  0  2  2  0  0  0  0  0  2  0  2  2  0  2  0  0  2  2  2  2  2  0  0  0  2  2  2  2  2  2  0  2  2

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

Homogenous weight enumerator: w(x)=1x^0+49x^46+70x^48+40x^50+80x^52+129x^54+88x^56+8x^58+27x^62+16x^64+3x^70+1x^96

The gray image is a code over GF(2) with n=106, k=9 and d=46.
This code was found by Heurico 1.16 in 1.04 seconds.