The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  2  1  1 X+2  1  1 X+2  1  X  1  2  1  1  1  1  1  1  1  X  1 X+2  2  1  1  1  1  0  X  X
 0  1  1  0  1  1  X X+3  1 X+2  1 X+3  2 X+1  1  0  1  1 X+2  1  1 X+1  1  X  1  0  X  3  1  0 X+2  X  1  0  1  1  3 X+1 X+3 X+3  2  X  2
 0  0  X  0  0  0  0  0  0  0  2 X+2  0  2  X  0 X+2  X X+2  2  X X+2  X  X  2  2  X  X X+2  X  X  0  X  2  X  0  2  0 X+2  2  X  0 X+2
 0  0  0  X  0  0  X  2  0  0  0  0  2  X  0  X X+2  0  X X+2  X  2 X+2  X  X  X  2 X+2  X  2  0  0  X  2  0 X+2  2  2 X+2  X  2 X+2 X+2
 0  0  0  0  X  0  0  X X+2  2 X+2  2 X+2 X+2  0 X+2  2  X  2  2  2  X X+2  X  2  0 X+2  0  X  2  X  X  0  X X+2  2  0  0  0  0  X X+2 X+2
 0  0  0  0  0  2  2  2  2  2  0  2  2  2  2  2  0  2  2  0  0  2  0  2  2  0  2  2  2  2  0  2  0  0  0  0  0  0  0  2  2  0  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+223x^36+68x^37+500x^38+448x^39+805x^40+608x^41+1090x^42+788x^43+1056x^44+708x^45+754x^46+360x^47+401x^48+88x^49+198x^50+4x^51+65x^52+18x^54+9x^56

The gray image is a code over GF(2) with n=172, k=13 and d=72.
This code was found by Heurico 1.16 in 3.51 seconds.