The generator matrix

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

generates a code of length 14 over Z2[X]/(X^3) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+10x^10+33x^12+174x^14+26x^16+6x^18+3x^20+2x^22+1x^24

The gray image is a linear code over GF(2) with n=56, k=8 and d=20.
This code was found by Heurico 1.16 in 0.00133 seconds.