The generator matrix

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

generates a code of length 26 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+7x^24+46x^26+7x^28+2x^34+1x^36

The gray image is a linear code over GF(2) with n=104, k=6 and d=48.
This code was found by Heurico 1.16 in 0.00388 seconds.