The generator matrix

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

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+48x^36+134x^37+126x^38+380x^39+159x^40+632x^41+163x^42+798x^43+214x^44+660x^45+182x^46+326x^47+77x^48+104x^49+26x^50+26x^51+10x^52+6x^53+10x^54+6x^55+3x^56+3x^58+2x^62

The gray image is a code over GF(2) with n=172, k=12 and d=72.
This code was found by Heurico 1.16 in 0.53 seconds.