The generator matrix

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

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+64x^37+156x^38+106x^39+223x^40+78x^41+462x^42+60x^43+322x^44+66x^45+218x^46+60x^47+86x^48+34x^49+50x^50+28x^51+6x^52+14x^53+10x^54+2x^55+1x^56+1x^64

The gray image is a code over GF(2) with n=172, k=11 and d=74.
This code was found by Heurico 1.16 in 16.3 seconds.