The generator matrix

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

generates a code of length 53 over Z4 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+65x^42+96x^43+207x^44+272x^45+301x^46+350x^47+441x^48+486x^49+444x^50+586x^51+556x^52+544x^53+590x^54+586x^55+534x^56+502x^57+443x^58+314x^59+249x^60+210x^61+176x^62+112x^63+54x^64+28x^65+24x^66+4x^67+4x^68+6x^69+4x^70+2x^72+1x^78

The gray image is a code over GF(2) with n=106, k=13 and d=42.
This code was found by Heurico 1.16 in 7.35 seconds.