The generator matrix

 1  0  1  1  1 X+2  1  1  2  X  1  1 X+2  1  1  1  2  1  1  X  2  1  1  X  1  1 X+2  1  1  1  1  1  0  1  1 X+2  1  1  1  1 X+2  1  1
 0  1  1  0 X+3  1  X X+1  1  1 X+2  3  1 X+1  0 X+1  1 X+2  X  1  1  3  1  1  X  1  1 X+2  2 X+1  X X+2  1  3 X+1  1  1 X+1  X X+1  1  2  X
 0  0  X  0 X+2  0  0  0  2  2  0  2  0  X X+2  2 X+2  X  X  X X+2  X  0  X  X  2  2  2  X  0  2  0  0 X+2 X+2  2  2 X+2  X  X  X  2  X
 0  0  0  X  0  0  X  2 X+2  X  0  0  2  X X+2  X  0 X+2  2  0  X  X  X X+2  2  X X+2  2  2  0  2  2  2 X+2  X  2  2  X  2  2  X X+2  X
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  2  0  2  2  2  0  0  0  2  0  2  2  2  2  0  2  2  2  2  0  2  2  0  0  0  0  2  0  0
 0  0  0  0  0  2  0  2  2  2  2  0  2  2  2  0  0  0  0  2  2  2  0  2  0  0  0  0  2  2  0  2  2  0  0  2  0  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  2  0  2  2  2  0  2  0  0  2  0  0  0  2  0  2  2  2  0  2  0  0  0  0  2  0  0  0  2  0  0  2  2  2  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+211x^36+76x^37+414x^38+376x^39+826x^40+692x^41+1146x^42+784x^43+1167x^44+692x^45+758x^46+376x^47+341x^48+76x^49+158x^50+69x^52+20x^54+8x^56+1x^60

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 4.77 seconds.