The generator matrix

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

generates a code of length 51 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+196x^42+152x^43+934x^44+588x^45+1858x^46+1496x^47+3116x^48+2472x^49+3896x^50+2920x^51+4546x^52+2464x^53+3192x^54+1416x^55+1732x^56+600x^57+624x^58+160x^59+278x^60+20x^61+86x^62+15x^64+4x^66+2x^68

The gray image is a linear code over GF(2) with n=204, k=15 and d=84.
This code was found by Heurico 1.16 in 32.9 seconds.