The generator matrix

 1  0  0  1  1  1 X+2  2  0  X  1  1  0  1  1  1  1  1 X+2  1  0  2  1  1 X+2  1  2  1  1  1  1  1  1  1 X+2  X  2  1  1 X+2  X  1
 0  1  0  0  1 X+3  1  X  1  1 X+1  X  1  3 X+2  2 X+1  0  1  1  1  1  X  3  0  3  X  X  X  3 X+3  X X+1  1 X+2  1  1  X X+2  2 X+2  0
 0  0  1 X+1  1 X+2 X+1  1 X+2  1 X+1 X+2 X+3  2 X+1  3  0 X+2  0  1  2  3  0  X  1 X+1  1  1  2 X+2 X+2  1  3 X+3  1  X  X X+1  0  1  0  0
 0  0  0  2  0  0  0  2  2  2  0  0  0  2  0  2  0  2  2  0  0  2  2  2  2  0  0  0  2  0  2  2  2  2  0  0  0  0  0  2  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  0  2  2  0  2  0  2  0  0  2  0  2  0  2  0  2  2  0  2  2  2  2  2  0  2  0  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  2  2  0  2  2  2  2  2  0  2  0  2  0  2  0  0  0  2  0  2  2  0  2  0  2  2  0  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+66x^36+252x^37+218x^38+538x^39+346x^40+548x^41+348x^42+512x^43+260x^44+412x^45+186x^46+226x^47+87x^48+62x^49+16x^50+4x^51+6x^52+4x^53+2x^56+2x^57

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 0.419 seconds.