The generator matrix

 1  0  1  1  1  0  1  1  X  1 X+2  1  1  1  0  1  1  2  X X+2  1  1  1  1  2  1 X+2  1  1 X+2  1  1  2  1  1  1  X  2  0  1  1  X  X
 0  1  1  0 X+1  1  X X+3  1 X+2  1  3  0 X+1  1  2 X+3  1  1  1 X+2  3  X  1  1 X+2  1  1 X+2  1 X+1  2  1 X+3  1  2  1  X  1  X  0  2  1
 0  0  X X+2  0 X+2  X X+2  X  0  2  0  2  0  0  X X+2  X  X  0  0  2 X+2 X+2 X+2  0  0  X  0  2  2 X+2  X  X  X  X  2  X  X X+2  2  X  X
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  0  2  2  2  0  0  2  2  0  2  0  2  2  0  0  2  2  0  0  2  0  2  0  0  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  0  0  0  2  0  2  0  2  2  2  2  2  0  2  0  0  0  2  2  2  2  0  0  2  2  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  2  0  2  2  0  2  0  2  2  0  0  2  2  0  2  0  0  2  0  2  0  0  0  2  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  0  2  2  2  0  0  2  2  0  0  0  2  0  2  2  0  2  2  2  2  2  0  2  0  0  2
 0  0  0  0  0  0  0  2  0  2  2  0  2  0  2  2  0  2  0  0  2  2  0  2  0  2  0  0  2  0  0  2  0  0  2  0  0  2  2  2  2  2  2
 0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  2  2  2  0  2  2  0  0  2  0  0  2  2  0  0  2  0  2  0  2  2  2  2  2  2  0  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+16x^33+94x^34+106x^35+265x^36+322x^37+639x^38+816x^39+1208x^40+1758x^41+1932x^42+2160x^43+1854x^44+1688x^45+1189x^46+940x^47+701x^48+288x^49+206x^50+70x^51+53x^52+22x^53+25x^54+4x^55+10x^56+2x^57+8x^58+4x^60+3x^62

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 7.88 seconds.