The generator matrix

 1  0  0  1  1  1 X+2  X  2  1  1  1  1  X  1  1  1 X+2  0  2  1  1 X+2  1  1  2  1  1  X  0  1  2  1 X+2  1  2  0 X+2  1  X X+2  1  2
 0  1  0  0  1 X+1  1  0  1 X+1  2 X+3  0  1 X+2 X+2  3  1  1  2  3  X  1  X X+1  0  3 X+2  1  1  2  1  2 X+2  3  1  X  1 X+2  1  0 X+3  1
 0  0  1  1  1  2  1  1  1 X+3  0  0 X+1  0  1 X+2 X+2  2 X+1  1  3  0  3  2  X  1  X  1 X+3  0  X  0  X  1 X+1  X  1 X+1 X+1 X+2  1 X+3  3
 0  0  0  X X+2  0  X  X  2  2  X X+2  X X+2  0 X+2  0  2 X+2 X+2  0  X  2  2  0  2 X+2  0  2 X+2  2 X+2 X+2  X X+2  0  2 X+2 X+2  X  0 X+2  2
 0  0  0  0  2  0  2  2  0  0  2  2  2  2  0  2  0  0  2  0  2  0  2  2  2  2  0  2  2  0  0  2  2  0  2  2  0  0  0  0  2  2  2

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+403x^38+803x^40+1002x^42+783x^44+626x^46+316x^48+130x^50+17x^52+15x^54

The gray image is a code over GF(2) with n=172, k=12 and d=76.
This code was found by Heurico 1.16 in 76.7 seconds.