The generator matrix

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

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+198x^36+324x^38+666x^40+882x^42+907x^44+610x^46+328x^48+86x^50+62x^52+18x^54+12x^56+1x^60+1x^64

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 1.7 seconds.