The generator matrix

1 0 0 0 0 1 1 1 0 X X 0 1 1
0 1 0 0 0 0 0 X 1 1 X 1 1 0
0 0 1 0 0 1 X 1 1 0 1 X+1 0 X
0 0 0 1 0 1 X+1 0 X+1 1 X X X+1 1
0 0 0 0 1 X 1 1 X+1 0 1 1 1 0

generates a code of length 14 over Z2[X]/(X^2) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+32x^9+70x^10+96x^11+116x^12+116x^13+140x^14+160x^15+123x^16+72x^17+46x^18+32x^19+16x^20+4x^21

The gray image is a linear code over GF(2) with n=28, k=10 and d=9.
This code was found by Heurico 1.10 in 0.015 seconds.