The generator matrix
1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 X 1 1 1 X 1 1 1
0 1 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 0 X^2 X X^2 X X^2+X X^2+X+1 1 0
0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0
0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0
generates a code of length 21 over Z2[X]/(X^3) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+7x^18+58x^19+35x^20+86x^21+7x^22+38x^23+9x^24+10x^25+1x^26+2x^28+1x^30+1x^36
The gray image is a linear code over GF(2) with n=84, k=8 and d=36.
This code was found by Heurico 1.16 in 0.00294 seconds.