The generator matrix

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

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+61x^32+12x^33+79x^34+72x^35+201x^36+226x^37+226x^38+474x^39+569x^40+776x^41+936x^42+960x^43+900x^44+804x^45+561x^46+468x^47+244x^48+220x^49+167x^50+72x^51+65x^52+10x^53+60x^54+2x^55+5x^56+18x^58+2x^60+1x^62

The gray image is a code over GF(2) with n=172, k=13 and d=64.
This code was found by Heurico 1.16 in 3.22 seconds.