The generator matrix 1 0 1 X 1 1 1 0 1 1 0 0 0 0 0 0 X X 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 generates a code of length 7 over Z2[X]/(X^3) who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+27x^2+16x^3+121x^4+288x^5+875x^6+1440x^7+875x^8+288x^9+121x^10+16x^11+27x^12+1x^14 The gray image is a linear code over GF(2) with n=28, k=12 and d=4. This code was found by Heurico 1.16 in 0.00436 seconds.