The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  2  1  X  1  1  0  1  1  1  X  1  0  X  1  1  2
 0  X  0  0  0  X X+2  X  0  2  2  0  X X+2  X X+2 X+2  0 X+2 X+2  0 X+2  2  0  0 X+2 X+2  X  2 X+2  2 X+2  X X+2 X+2  X  2  2  X  2  0  2  2
 0  0  X  0  X  X X+2  0  0  0 X+2 X+2  X  X  2  0  X  0  2  0  0  2  X  X  2  2  2 X+2 X+2  X X+2 X+2 X+2  X  X  2  X  2  0  X X+2 X+2  X
 0  0  0  X  X  0 X+2  X  2 X+2  X  2  2  X  X  2  0  2 X+2  0 X+2 X+2  X  X  0  2  0  2  0  X  2  2  X X+2  X  0  0  X  2  0  2  X  X
 0  0  0  0  2  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  0  0  2  2  2  2  2  2  0  0  2  0  2  2  0  0  2  0  0  2  2
 0  0  0  0  0  2  0  2  0  0  2  2  0  2  2  0  0  2  0  2  0  0  0  2  2  2  0  2  0  0  2  2  2  2  2  2  0  2  0  0  0  2  0
 0  0  0  0  0  0  2  2  2  2  0  0  2  0  0  0  0  2  0  2  2  2  2  2  0  2  2  0  2  2  2  2  0  2  2  0  0  2  0  2  2  0  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+177x^36+308x^38+72x^39+471x^40+264x^41+614x^42+368x^43+635x^44+240x^45+390x^46+72x^47+257x^48+8x^49+146x^50+50x^52+14x^54+7x^56+1x^60+1x^68

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 0.766 seconds.