The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 0 X X X 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X X 0 0 X X 0 X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 X 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 X X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X 0 0 X X X X 0 0 X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 X 0 0 X X 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 X X 0 X 0 X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 X X 0 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X 0 X X X 0 X 0 0 X X 0 0 0 0 X 0 generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+28x^18+105x^20+253x^22+366x^24+457x^26+676x^28+994x^30+2048x^31+1263x^32+4096x^33+1185x^34+2048x^35+910x^36+711x^38+514x^40+371x^42+228x^44+89x^46+32x^48+7x^50+1x^52+1x^62 The gray image is a linear code over GF(2) with n=66, k=14 and d=18. This code was found by Heurico 1.16 in 11.8 seconds.