The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X X X X X 0 0 1 1 1 0 1 1 0 1 1 X+1 0 1 0 X+1 1 X X+1 1 X X+1 1 X 1 1 X 1 1 0 0 0 X X 0 0 0 X 0 0 X 0 0 0 0 X X X X X X 0 X X X 0 0 X X 0 0 0 0 0 X X 0 0 0 X X 0 0 0 X 0 X X X X 0 X 0 0 0 0 X 0 X X X X 0 X 0 0 X X 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X X X X 0 0 0 0 X 0 X 0 X X 0 0 X X X X X generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+16x^30+32x^31+22x^32+8x^34+32x^35+8x^36+8x^38+1x^64 The gray image is a linear code over GF(2) with n=66, k=7 and d=30. This code was found by Heurico 1.16 in 0 seconds.