The generator matrix

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

generates a code of length 13 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+3x^12+8x^13+2x^14+1x^18+1x^22

The gray image is a linear code over GF(2) with n=26, k=4 and d=12.
This code was found by Heurico 1.16 in 0.000254 seconds.