The generator matrix

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

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+44x^35+154x^36+204x^37+302x^38+460x^39+729x^40+800x^41+844x^42+1048x^43+1006x^44+880x^45+568x^46+448x^47+367x^48+144x^49+52x^50+44x^51+38x^52+20x^53+26x^54+4x^55+7x^56+2x^60

The gray image is a code over GF(2) with n=172, k=13 and d=70.
This code was found by Heurico 1.16 in 2.28 seconds.