The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^42+88x^43+190x^44+260x^45+318x^46+366x^47+416x^48+472x^49+487x^50+548x^51+573x^52+610x^53+575x^54+620x^55+509x^56+448x^57+384x^58+336x^59+284x^60+232x^61+176x^62+86x^63+61x^64+24x^65+27x^66+4x^67+9x^68+2x^69+3x^70+5x^72+2x^74

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 7.46 seconds.