The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  X  0 X^2  X X^2+X  0  X X^2 X^2+X X^2  0 X^2+X X^2+X  0 X^2+X X^2  X X^2  0 X^2+X X^2+X X^2 X^2  0
 0  0  X  X  0  X X^2+X X^2 X^2  X X^2+X  0 X^2  X X^2+X  0 X^2 X^2+X  0  0  X X^2+X  X X^2 X^2  0  0
 0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2  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+9x^24+24x^25+22x^26+144x^27+22x^28+24x^29+9x^30+1x^54

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 0.00786 seconds.