The generator matrix

 1  0  0  0  1  1  1  1  2  1  1 X+2  0  1  2  1  1  0  X  1  1  X  0  X  1  1  2  1 X+2 X+2  1  2  1  X  1 X+2  1 X+2  1  1  0  2  1
 0  1  0  0  0  2  1  3  1  2 X+3  1 X+2  1  1 X+2 X+3 X+2  0  3  0  1  1  1 X+1  X X+2 X+3 X+2  1  X  1 X+1  X  X  1  2  1  3  0  1  X  0
 0  0  1  0  0  1  3  2  1 X+1  3 X+1  1  2 X+2  2  1 X+2  1  X  1  3 X+1  0 X+1 X+2  0 X+2  1  X  X X+2  3  X  0  0  1 X+2  X  2  1 X+2 X+3
 0  0  0  1 X+1 X+1  2 X+3 X+3  X X+3  0  3 X+2  3 X+1  1  1 X+1  3  1 X+2 X+3  0  1  0  1  X  X  X  X  0  2  1  3  2  X  0 X+3  0 X+2  1  X
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  0  0  2  2  0  2  0  2  2  2  2  2  0  2

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+232x^37+394x^38+736x^39+693x^40+852x^41+724x^42+1044x^43+778x^44+836x^45+612x^46+618x^47+268x^48+232x^49+91x^50+48x^51+20x^52+4x^53+2x^55+4x^57+3x^58

The gray image is a code over GF(2) with n=172, k=13 and d=74.
This code was found by Heurico 1.13 in 0.711 seconds.