The generator matrix

 1  0  0  1  1  1 X+2  1  1  2  0  X  1  1  2  X  1  1  X  1  X  1  1  1  X  1  1  1  0 X+2  1 X+2  1  X  1  1  0 X+2  1  1  1  1  1
 0  1  0  0  1 X+1  1  X X+3  X  1  1 X+2  1  1  1  1 X+2  1 X+3  X  0  0  1 X+2  3  1  2  X  1  2  0 X+1  1  X X+3  1  1 X+1  1  X X+2  2
 0  0  1  1  1  0  1  X X+1  1 X+2 X+1  1  X X+1  X X+1  3  X  0  1 X+1  2 X+3  1  3  2  X  1  3  1  1  3  2  X X+2  3 X+1 X+2 X+2 X+2 X+3 X+2
 0  0  0  X X+2  0 X+2  0 X+2  2  2  X  X  2  X  0  X X+2  0  X  2  0  X  2  X  0 X+2  X  X  2  2  0  2  X  2  2  X X+2  2 X+2 X+2 X+2 X+2
 0  0  0  0  2  0  0  2  0  2  2  2  2  2  2  2  0  0  0  0  2  2  2  2  0  0  2  0  0  0  2  0  2  0  0  0  2  2  0  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  0  2  2  0  0  2  2  0  2  0  0  0  2  2  0  0  2  2  0  0  0  0
 0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  0  0  2  2  2  2  0  2  0  0  2  2  2  2  0  2  2  0  0  0  0  2  0  2  0  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+382x^36+280x^37+886x^38+792x^39+1612x^40+1176x^41+2272x^42+1544x^43+2272x^44+1384x^45+1632x^46+712x^47+761x^48+232x^49+300x^50+24x^51+90x^52+26x^54+2x^56+4x^58

The gray image is a code over GF(2) with n=172, k=14 and d=72.
This code was found by Heurico 1.16 in 8.35 seconds.