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  1  1  X  X  1  1  1  1  1  X  1  1  1  X  1  X  1  1
 0  2  0  0  0  0  0  0  0  0  2  2  0  0  0  2  0  0  0  0  2  2  2  2  0  2  2  2  2  0  2  2  0  2  2  2  0  2  0  0  2  2  0
 0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  0  0  0  2  2  2  2  2  2  0  2  0  0  0  0  0  0  2  2  2  0  2  2  2  0  2  0  0
 0  0  0  2  0  0  0  0  0  2  0  2  2  2  0  2  0  2  2  0  0  0  0  0  2  0  2  2  0  2  0  2  2  0  2  0  0  2  0  2  0  2  0
 0  0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  0  2  2  0  0  0  2  2  2  2  0  0  0  2  2  0  0  2  0  2  0  0  2  2  0  0
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  2  2  0  0  0  0  2  2  0  0  2  2  2  0  0  0  2  2  0  2  2  2  2  0  0  2
 0  0  0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0  2  0  0  2  0  2  0  2  2  0  2  2  0  0  0  0  2  0  2  2  2  2  2  0
 0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  0  2  0  2  0  0  2  2  0  0  0  2  2  0  0  0  2  0  2  2  0  2  0  2  2  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+63x^36+8x^38+106x^40+80x^42+512x^43+117x^44+40x^46+61x^48+27x^52+8x^56+1x^76

The gray image is a code over GF(2) with n=172, k=10 and d=72.
This code was found by Heurico 1.16 in 0.0884 seconds.