The generator matrix

 1  0  1  1  1 X^2  1  1  1 X^2+X X^2  1  X  1
 0  1  1  0 X+1  1  0 X+1  X  1  1  X  1  0
 0  0  X  0  X X^2  X X^2 X^2+X  0  0  0  X X^2
 0  0  0  X  X X^2+X X^2+X X^2  0 X^2  X  0 X^2 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+20x^10+46x^11+163x^12+154x^13+277x^14+140x^15+153x^16+36x^17+22x^18+6x^19+3x^20+2x^21+1x^22

The gray image is a linear code over GF(2) with n=56, k=10 and d=20.
This code was found by Heurico 1.16 in 0.00695 seconds.