The generator matrix
1 1 1 1 1 1 1 1 X X 1 1 1 1
0 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0
0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 0
0 0 0 X^3 0 0 X^3 0 0 X^3 X^3 X^3 X^3 0
0 0 0 0 X^3 0 X^3 0 X^3 X^3 X^3 0 0 X^3
0 0 0 0 0 X^3 X^3 0 X^3 0 X^3 X^3 X^3 X^3
generates a code of length 14 over Z2[X]/(X^4) who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+10x^10+33x^12+430x^14+26x^16+6x^18+3x^20+2x^22+1x^24
The gray image is a linear code over GF(2) with n=112, k=9 and d=40.
This code was found by Heurico 1.16 in 3.81e-009 seconds.