The generator matrix

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

generates a code of length 20 over Z2[X]/(X^3) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+9x^18+24x^19+58x^20+24x^21+10x^22+1x^26+1x^32

The gray image is a linear code over GF(2) with n=80, k=7 and d=36.
This code was found by Heurico 1.16 in 0.00182 seconds.