The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  2  0  X  0  X  1  1  X  1  X  1  1  X  X  X  X  1
 0  X  0  X  0  0  X X+2  0  2  X  0 X+2  2 X+2 X+2  0  2  0 X+2 X+2 X+2  2  2  X  X  X X+2  0  0  2  X X+2 X+2  X  0  0  0 X+2  0  0  0
 0  0  X  X  0 X+2  X  0  0  X  X  2  2 X+2  X  0  2  X  X  0 X+2  2  X  X X+2 X+2  2  2  X X+2  2  2  0  2  X  2 X+2 X+2 X+2 X+2  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  2  2  2  2  2  0  2  0  0  2  0  2  2  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  0  0  0  2  2  0  0  2  2  2  2  0  2  2  0  0  2  2  0  0  2  2  0  2  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  2  0  2  2  2  2  0  2  2  0  0  2  2  2  2  0  2  2  0  0  0  0  2  0
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  2  2  0  0  2  2  2  2  0  0  2  2  2  0  2  0  0  0  0  0  2  0  2  2  0
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  2  2  0  2  2  2  0  2  0  2  0  0  0  2  0  0  2  2  2  2  2  0  0  0  0  2  0
 0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  2  0  2  0  0  2  0  0  2  2  2  0  0  0  0  2  0  0  2  2  0  0

generates a code of length 42 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+47x^32+46x^33+132x^34+178x^35+200x^36+402x^37+247x^38+912x^39+278x^40+1532x^41+291x^42+1524x^43+248x^44+932x^45+226x^46+416x^47+196x^48+150x^49+102x^50+42x^51+44x^52+10x^53+23x^54+6x^56+3x^58+4x^60

The gray image is a code over GF(2) with n=168, k=13 and d=64.
This code was found by Heurico 1.16 in 2.93 seconds.