The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 X 1 1 1 1 0 1 0 0 0 0 0 0 1 X X+1 0 1 1 X+1 0 0 0 0 1 0 0 0 0 0 1 X+1 1 1 X+1 X X 0 0 0 0 0 1 0 0 0 0 1 1 X X 0 X+1 X 0 0 0 0 0 0 1 0 0 1 X+1 1 1 X 0 0 X+1 0 0 0 0 0 0 0 1 0 1 X 1 X+1 X+1 0 0 1 X 0 0 0 0 0 0 0 1 1 0 X X+1 X 1 0 0 X 0 0 0 0 0 0 0 0 X X 0 0 X X 0 0 0 0 generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 8. Homogenous weight enumerator: w(x)=1x^0+134x^8+670x^10+2283x^12+5096x^14+8397x^16+7748x^18+5398x^20+2248x^22+668x^24+110x^26+15x^28 The gray image is a linear code over GF(2) with n=34, k=15 and d=8. This code was found by Heurico 1.16 in 6.98 seconds.