The generator matrix

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

generates a code of length 51 over Z2[X]/(X^3) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+74x^43+171x^44+220x^45+490x^46+366x^47+827x^48+564x^49+1094x^50+658x^51+1096x^52+578x^53+829x^54+338x^55+409x^56+156x^57+126x^58+86x^59+52x^60+14x^61+20x^62+12x^63+3x^64+4x^65+2x^67+1x^68+1x^70

The gray image is a linear code over GF(2) with n=204, k=13 and d=86.
This code was found by Heurico 1.16 in 4.05 seconds.