The generator matrix

 1  0  1  1  1 X+2  1  0  1  1  1  2  1 X+2  1  1  X  1  1 X+2  0  1  1  1  1  1  1  1  0  0  1 X+2  1  1  0  1  1  X  1  X  2  X
 0  1  1  0 X+3  1  X  1 X+3  X  1  1 X+2  1  3  0  1 X+3  1  1  1  2  X X+1  0 X+2  0 X+2  1  1  1  1  1  0  1  0  2  X  3  1  X  2
 0  0  X  0 X+2  0  0  X  2  X  2 X+2  X  2  X X+2 X+2  2  0 X+2  0  X  2  X  0 X+2 X+2  2  X X+2  X X+2  X X+2  0  0 X+2  0 X+2  0  X X+2
 0  0  0  X  0  0 X+2  X X+2  0 X+2  2 X+2  X  X  X  0  2  2 X+2  X  0  0  X  0  2 X+2 X+2 X+2  X  2  X  2 X+2  0  X  X  X X+2  0 X+2 X+2
 0  0  0  0  2  0  2  2  0  2  2  2  2  0  2  0  2  2  0  2  0  0  2  0  2  0  2  0  0  0  2  2  2  0  2  0  0  0  0  2  0  2
 0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  0  2  2  0  2  0  2  2  0  2  2  0  2  2  0  0  2  2  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 36.

Homogenous weight enumerator: w(x)=1x^0+176x^36+96x^37+358x^38+288x^39+522x^40+424x^41+568x^42+352x^43+450x^44+240x^45+264x^46+128x^47+131x^48+8x^49+48x^50+30x^52+10x^54+2x^56

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 0.574 seconds.