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  X  1  0  1  1  1  1  X  1  1  1  1  X  1  1  X  1
 0  X  0  0  0  X X+2  X  0  2  X X+2  0  2  X  X  0  2  X  X X+2 X+2  X  0 X+2  2  0  2  0  2  2  0 X+2  X X+2  X X+2  X X+2  2  X  2  2
 0  0  X  0  X  X  X  2  0  2 X+2 X+2  X  X  2  2  0 X+2  0  X  X X+2 X+2 X+2  0  2  2  0  2 X+2  X  0  0 X+2 X+2  0  2  0  0  2  0 X+2 X+2
 0  0  0  X  X  2 X+2 X+2  0 X+2  2 X+2  X  0  X  0  2 X+2 X+2  0 X+2  0 X+2 X+2  X  0  0  2  X  2  2 X+2  2  0  X  2  2  X  0 X+2  0 X+2  0
 0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  2  2  0  2  0  0  2  0  2  0  2  2  2  2  2  2  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 38.

Homogenous weight enumerator: w(x)=1x^0+94x^38+133x^40+316x^42+281x^44+116x^46+25x^48+44x^50+6x^52+6x^54+1x^56+1x^76

The gray image is a code over GF(2) with n=172, k=10 and d=76.
This code was found by Heurico 1.16 in 0.0796 seconds.