The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+176x^35+473x^36+878x^37+1486x^38+2016x^39+2585x^40+3038x^41+3522x^42+4008x^43+3810x^44+3328x^45+2774x^46+2012x^47+1241x^48+736x^49+384x^50+128x^51+81x^52+50x^53+24x^54+12x^55+1x^56+2x^57+2x^58

The gray image is a linear code over GF(2) with n=172, k=15 and d=70.
This code was found by Heurico 1.16 in 24.3 seconds.