The generator matrix

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

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+234x^42+648x^43+1407x^44+1862x^45+3275x^46+3698x^47+5235x^48+5676x^49+7110x^50+6808x^51+7336x^52+6056x^53+5578x^54+3596x^55+3124x^56+1692x^57+1150x^58+528x^59+297x^60+130x^61+59x^62+18x^63+8x^64+8x^65+2x^66

The gray image is a linear code over GF(2) with n=204, k=16 and d=84.
This code was found by Heurico 1.13 in 38 seconds.