The generator matrix

 1  0  0  0  0  1  1  1  1  2  1  X  0  1  1  X  1  1  1 X+2  1  1  2  2  2  1  1  2  0  2 X+2  X  1  1  X  1  0  1  X  1  1  1  1
 0  1  0  0  0  0  X  1  3  1  3  1  1  X X+1  X  2  3  X  1 X+1  1  1  1  2 X+1  2  2 X+2  X  2  1 X+1  2  1  0  1 X+3  2 X+1  1 X+2  0
 0  0  1  0  0  0 X+1  X  1 X+1  0 X+1 X+2  3 X+1  1 X+3  X  2  2  1  1  2  1  X  2  1  0  1  1  1  X  X X+2  2 X+1  3 X+1  1  0  1  1  0
 0  0  0  1  0  1  1 X+1  2  3  X  0 X+3  0  3 X+3  0  X  3  X X+3  0 X+3  X  1 X+1  1  2  X  1 X+2  1  1  0  2 X+1  3  0  1  1 X+2 X+1  0
 0  0  0  0  1  1  2  0 X+2  X  1  1  1 X+1 X+1 X+3 X+2 X+2  0 X+3 X+2  1  0  2  1 X+1  1  1  1  0  3 X+3  1 X+3 X+2 X+2  3  1  0  2  0  3  0
 0  0  0  0  0  X  0  0  0  0  0  0  2  2 X+2 X+2 X+2 X+2  X X+2  X X+2  2  X  X  X  2 X+2  2 X+2 X+2  X  0  X X+2  X X+2  0 X+2  X  X  2  2

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+40x^33+335x^34+982x^35+1746x^36+3374x^37+4839x^38+7988x^39+9430x^40+13798x^41+14165x^42+17058x^43+14401x^44+14106x^45+9963x^46+8150x^47+4644x^48+3194x^49+1494x^50+720x^51+359x^52+176x^53+50x^54+46x^55+9x^56+2x^58+2x^60

The gray image is a code over GF(2) with n=172, k=17 and d=66.
This code was found by Heurico 1.13 in 281 seconds.