The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  1  X  1  0  1  X  0  1  1  X  0  1  1  1  0  1  1  2  1  0  1  X  1  1
 0  X  0 X+2  0 X+2  0 X+2  0 X+2  2 X+2  0 X+2  X  0 X+2  X  2 X+2  0  X  2 X+2  X X+2 X+2 X+2  X  0  0  2  X  0  X  2 X+2  X X+2 X+2  0  0
 0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  0  0  2  2  2  0  0  2  2  0  0  0  0  2  2  2  2  0  0  0  2  0  2  2  2  0  0
 0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  0  0  0  0  0  2  2  0  2  0  2  0  2  0  2  2  2  2  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  2  0  2  0  2  2  2  0  2  2  2  2  0  0
 0  0  0  0  0  2  0  0  0  2  0  2  0  0  2  0  2  0  0  2  2  2  2  0  2  0  0  2  2  2  2  0  0  0  0  0  2  0  0  2  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  0  0  2  2  0  2  0  2  2  2  2  0  0  2  2  2  2  2  0  2  0  0  0  0
 0  0  0  0  0  0  0  2  0  2  0  0  0  2  2  2  2  2  2  0  0  2  0  2  2  0  0  0  0  2  2  0  2  0  0  2  2  2  0  2  0  0
 0  0  0  0  0  0  0  0  2  0  2  2  2  2  0  2  2  0  0  0  2  0  2  0  2  2  2  0  0  0  2  2  0  0  0  2  2  0  0  0  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+60x^32+50x^34+8x^35+260x^36+56x^37+294x^38+168x^39+581x^40+280x^41+592x^42+280x^43+608x^44+168x^45+296x^46+56x^47+199x^48+8x^49+46x^50+56x^52+2x^54+23x^56+4x^60

The gray image is a code over GF(2) with n=168, k=12 and d=64.
This code was found by Heurico 1.16 in 0.75 seconds.