The generator matrix

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

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+67x^36+250x^37+323x^38+616x^39+631x^40+962x^41+774x^42+1070x^43+816x^44+862x^45+606x^46+546x^47+255x^48+246x^49+78x^50+34x^51+17x^52+16x^53+11x^54+6x^55+5x^56

The gray image is a code over GF(2) with n=172, k=13 and d=72.
This code was found by Heurico 1.16 in 2.05 seconds.