The generator matrix

 1  0  1  1  1  0  1 X+2  1  1 X+2  1  1  2  1  1  1  2  X  0  1  1  1  X  2  1  1  1  1  X  X  1  1  1  2  1  1  1  1  2  2  1  1
 0  1  1  0 X+3  1  X  1 X+3  X  1  1  2  1 X+1  0 X+3  1  1  1  3 X+2  0  1  1  3  3  0  X  1  1  2  2 X+1  1  X X+1  X X+3  1  1 X+2  3
 0  0  X  0 X+2  X  0  X  0  X  2  0  X  0  2 X+2  X  X X+2  2  2 X+2  2  2  X  X  2  2  2  0  0  X  2  0 X+2 X+2  0 X+2  2 X+2  X  0  X
 0  0  0  X  0  X  X  X X+2  0  2 X+2  2  X  2  X X+2  2  2  X  0 X+2  X  X X+2  X X+2 X+2  0  X  2  X  0  2 X+2  0  0  2  X  2  2  2 X+2
 0  0  0  0  2  2  2  0  2  2  2  0  0  0  0  0  0  0  2  2  0  0  2  0  2  2  2  0  2  2  0  2  2  2  0  0  0  0  0  2  2  0  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+135x^38+112x^39+256x^40+192x^41+299x^42+160x^43+245x^44+192x^45+201x^46+112x^47+89x^48+25x^50+10x^52+12x^54+6x^56+1x^60

The gray image is a code over GF(2) with n=172, k=11 and d=76.
This code was found by Heurico 1.16 in 0.169 seconds.