The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^42+88x^43+219x^44+268x^45+385x^46+392x^47+418x^48+468x^49+447x^50+546x^51+486x^52+556x^53+547x^54+572x^55+496x^56+500x^57+440x^58+368x^59+287x^60+232x^61+203x^62+76x^63+61x^64+24x^65+25x^66+6x^67+16x^68+1x^86

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 7.25 seconds.