The generator matrix

 1  0  1  1  1  2  1  1  0  0  1  1  1  0  1  1  1  2  2  1  1  X  1  1  1  X  1  1  0  1  1  1 X+2  1  0  X  1  1  1  X X+2  2
 0  1  1  0  1  1  2 X+1  1  1  2 X+3  0  1  1 X+1  2  1  1  2  3  1  X  1 X+3  1  X  2  1  X  3 X+3  1 X+1  1  1  2  1 X+1  1  1  1
 0  0  X  0  0  0  0  2 X+2  X X+2 X+2  0  X X+2  2  X  0  2 X+2 X+2 X+2  X  2  0  X  X X+2  0  0  X  2  2  X  0 X+2  2 X+2 X+2  0 X+2 X+2
 0  0  0  X  0  0  2  2  2  2  0  2 X+2 X+2 X+2 X+2  X  X X+2  X X+2  X  X  X  0 X+2  2  0  0  X  0  X  0 X+2  X X+2  0  X  X  2  0  X
 0  0  0  0  X X+2 X+2  2  X  0  0 X+2 X+2  2 X+2  X X+2  2  X  0  0 X+2 X+2  X X+2 X+2  X X+2  2  2  2  2  2  0  0  X  0 X+2  2  0 X+2  2

generates a code of length 42 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+127x^36+96x^37+370x^38+416x^39+406x^40+512x^41+316x^42+512x^43+393x^44+416x^45+270x^46+96x^47+97x^48+32x^50+27x^52+4x^54+4x^56+1x^60

The gray image is a code over GF(2) with n=168, k=12 and d=72.
This code was found by Heurico 1.16 in 0.562 seconds.