The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1  1  0  X  1  1
 0  1 X+1 X^2+X  1  1  0 X+1  1 X^2+X X+1  1  0  0  0
 0  0 X^2  0  0  0  0  0  0 X^2  0 X^2 X^2  0  0
 0  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2  0  0  0
 0  0  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0  0
 0  0  0  0  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0
 0  0  0  0  0  0 X^2  0 X^2 X^2 X^2  0  0  0  0
 0  0  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0

generates a code of length 15 over Z2[X]/(X^3) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+46x^8+112x^10+517x^12+1352x^14+1429x^16+448x^18+170x^20+8x^22+12x^24+1x^28

The gray image is a linear code over GF(2) with n=60, k=12 and d=16.
This code was found by Heurico 1.16 in 0.0305 seconds.