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.