The generator matrix

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

generates a code of length 53 over Z4 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+62x^45+114x^46+114x^47+129x^48+172x^49+183x^50+142x^51+119x^52+110x^53+142x^54+120x^55+108x^56+110x^57+81x^58+100x^59+68x^60+52x^61+48x^62+30x^63+18x^64+6x^65+7x^66+6x^67+5x^68+1x^74

The gray image is a code over GF(2) with n=106, k=11 and d=45.
This code was found by Heurico 1.16 in 2.64 seconds.