The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+94x^38+133x^40+316x^42+281x^44+116x^46+25x^48+44x^50+6x^52+6x^54+1x^56+1x^76

The gray image is a linear code over GF(2) with n=172, k=10 and d=76.
This code was found by Heurico 1.16 in 0.0796 seconds.