The generator matrix

 1  0  1  1  1 X+2  1  0  1  1  1 X+2  1  2  1  1  1  X  1  1  1  2 X+2  1  2  1  1  2  1  1 X+2  1  1  0  2  X  1  2  1  1  X  1  1
 0  1  1  0 X+3  1  X  1 X+3 X+2  1  1  2  1  3  1  0  1 X+1 X+2 X+2  1  1  3  1  3 X+2  1  0 X+3  1 X+1  X  0  1 X+2  2  1  1  0  1 X+2  0
 0  0  X  0 X+2  0  0  X  2  2  2  X  X  0 X+2  0  X  X  X  X X+2 X+2  2  2  X X+2 X+2  0  2  0  0  X  X  0  2  X  2  0  0  X X+2  2  0
 0  0  0  X  0  0 X+2  X X+2  2 X+2 X+2  2 X+2 X+2  2  X  0  X X+2  0  2  X  0  2  2 X+2  X  0  X  0 X+2 X+2  X  2  X  2  X  2  2  X  X  0
 0  0  0  0  2  0  2  2  0  2  2  2  0  2  0  2  0  0  2  2  2  2  0  0  2  0  2  0  2  0  2  0  0  2  0  0  0  0  0  0  2  0  0
 0  0  0  0  0  2  0  0  0  0  0  2  2  0  2  2  2  2  0  2  2  0  2  0  2  2  0  0  2  2  0  0  2  2  2  2  2  2  2  0  2  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+43x^36+130x^37+193x^38+268x^39+331x^40+436x^41+454x^42+432x^43+497x^44+392x^45+327x^46+282x^47+128x^48+54x^49+45x^50+36x^51+14x^52+10x^53+4x^54+6x^55+8x^56+2x^57+1x^58+2x^60

The gray image is a code over GF(2) with n=172, k=12 and d=72.
This code was found by Heurico 1.16 in 0.525 seconds.