The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+44x^37+148x^38+64x^39+315x^40+88x^41+324x^42+128x^43+332x^44+80x^45+268x^46+64x^47+111x^48+40x^49+12x^50+4x^52+4x^53+16x^54+5x^56

The gray image is a linear code over GF(2) with n=172, k=11 and d=74.
This code was found by Heurico 1.16 in 18.2 seconds.