The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  2  1  1 X+2  1  1  2  1  X  1  1 X+2  1  1  1  1  1 X+2  1  1  1  X  1  2  1  1  0  X  1  1  1  1
 0  1  0  X  1 X+3  1 X+2  0  2  1  1 X+2  3  1 X+1  1  X  0  1  X  1  X X+3  2 X+2 X+1  2  2 X+1  X  1  1 X+1 X+2  3  X  1  1  3 X+3 X+3  X
 0  0  1  1 X+3 X+2  1 X+1 X+2  1  1  1  0  0  0 X+1  X  1 X+1  X  X  3  1  3  1  0  2 X+3  1  1 X+2  2 X+3  3  1  0 X+2 X+1 X+2  1  1  0  1
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  0  0  2  2  0  2  0  0  0  0  2  2  0  2  0  2  2  2  0  2  2  0  2  0  0  0  0  0  2
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  2  2  0  2  2  2  2  2  0  2  0  2  2  0  2  0  0  0  0  2  0  2
 0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  2  0  0  0  2  2  0  0  0  2  2  2  0  0  2  2  2  2  0  2  0  0  0  0  2  0  0  2
 0  0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  2  2  2  2  0  2  2  0  0  0  2  0  2  2  0  0  2  2  2  2  0  0  0  2  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+64x^36+230x^37+397x^38+564x^39+659x^40+928x^41+707x^42+1186x^43+725x^44+938x^45+568x^46+530x^47+313x^48+198x^49+116x^50+22x^51+24x^52+8x^53+3x^54+2x^55+3x^56+2x^57+1x^58+3x^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 1.83 seconds.