The generator matrix

 1  0  0  1  1  1  0  1  2  1  1 X+2  1  X  1  1  1  X  1 X+2  1  X  0  1 X+2  0  1  2  0  1  X  2 X+2  2  1  2  1  1  2  1  1  1  1
 0  1  0  0  1  3  1  X  1 X+1 X+3  0  2  1  1 X+2  1  1  X  1 X+3  1 X+2 X+1  1  1  3  2  1 X+3 X+2  1  1  X X+3  1  3 X+2  1  1  3  0  0
 0  0  1 X+1 X+3  0 X+1  1  X  2  3  1 X+2  3  X X+1  1  2  X X+3 X+3 X+2  1  2  3  0 X+2  1  3  X  1 X+1  3  1  1  X  2  0  1  3  1  X  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  2  2  0  2  0  2  0  0  2  2  0  0  2  0  2  0  0  2  0
 0  0  0  0  2  2  2  0  2  0  0  2  2  0  0  2  2  2  2  2  0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  0  0  0  2  0  2  0  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+44x^38+226x^39+214x^40+274x^41+241x^42+270x^43+179x^44+164x^45+107x^46+124x^47+76x^48+70x^49+23x^50+18x^51+9x^52+4x^53+1x^54+2x^55+1x^56

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 0.127 seconds.