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

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+56x^33+137x^34+244x^35+356x^36+494x^37+806x^38+914x^39+1180x^40+1466x^41+1641x^42+1790x^43+1589x^44+1542x^45+1246x^46+938x^47+719x^48+470x^49+357x^50+198x^51+118x^52+68x^53+36x^54+12x^55+4x^56+1x^58+1x^76

The gray image is a code over GF(2) with n=172, k=14 and d=66.
This code was found by Heurico 1.16 in 11.3 seconds.