The generator matrix

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

generates a code of length 27 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+18x^24+80x^25+12x^26+32x^27+12x^28+80x^29+18x^30+1x^32+2x^38

The gray image is a linear code over GF(2) with n=108, k=8 and d=48.
This code was found by Heurico 1.16 in 0.00588 seconds.