The generator matrix

 1  0  0  1  1  1 X+2  1  1  0  X  1  1  X  1  0  X  1  1  1  X  X  1  1 X+2  X  X  1  1  1  X X+2  X  2  0  2  1  1  1  1  1 X+2  1
 0  1  0  0  1 X+1  1 X+2  3  1  X  3 X+2  1 X+3  1  1  X  0 X+1  1  X X+2  X  2  1  1  0  0  1  1  1 X+2  1  1  1  X X+3  3 X+2  1  X  0
 0  0  1  1  1  0  1  3  1  1  1  0  2  X  1  X  1  3  2  X  0  1  2  1  1  2 X+2 X+3  1  0 X+1 X+3  1  X X+1 X+2  2 X+3  X X+2  3  1  0
 0  0  0  X  0  0  2  2 X+2  X  X X+2  X X+2 X+2  2  X  2  0  0 X+2  0 X+2 X+2 X+2  0  X X+2  0  2  2  2  X  2  X X+2  0  2  0 X+2  0  2  2
 0  0  0  0  X  2  X X+2  2  2 X+2  X  X X+2 X+2 X+2  X  0  X X+2  0 X+2  0  X  2  0  0 X+2  2  X  0  X  0  X  0  2 X+2  2  2  X  0  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+54x^36+192x^37+471x^38+518x^39+783x^40+730x^41+1005x^42+740x^43+1056x^44+780x^45+752x^46+384x^47+362x^48+190x^49+67x^50+36x^51+48x^52+8x^53+7x^54+2x^55+4x^57+2x^58

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 1.86 seconds.