The generator matrix 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 0 X 0 0 0 0 0 0 X 0 X X 0 0 X 0 0 X 0 0 0 0 0 X X X 0 0 X X 0 0 0 X 0 0 0 X 0 X 0 X 0 X X 0 0 0 0 X 0 0 X 0 0 X X X X 0 0 0 0 0 0 X 0 X X 0 0 X 0 X 0 0 0 0 0 0 0 X X X X X X X 0 0 generates a code of length 15 over Z2[X]/(X^2) who´s minimum homogenous weight is 10. Homogenous weight enumerator: w(x)=1x^0+15x^10+30x^12+32x^13+26x^14+64x^15+15x^16+32x^17+16x^18+18x^20+6x^22+1x^26 The gray image is a linear code over GF(2) with n=30, k=8 and d=10. This code was found by Heurico 1.16 in 0.016 seconds.