The generator matrix 1 0 0 1 1 1 X 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 X 1 1 X 0 X+1 1 X 0 0 0 1 1 1 0 1 X 1 0 0 X+1 0 X X+1 1 0 0 0 0 X 0 0 X 0 0 0 X X X 0 X 0 0 0 0 0 0 X 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X 0 X X 0 generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+37x^12+48x^13+49x^14+38x^15+42x^16+82x^17+49x^18+52x^19+39x^20+28x^21+27x^22+6x^23+9x^24+2x^25+3x^26 The gray image is a linear code over GF(2) with n=34, k=9 and d=12. This code was found by Heurico 1.16 in 0.00564 seconds.