The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X X 1 1 X 0 1 1 X 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 0 X+1 1 X X+1 1 X X+1 1 X 0 X 1 1 X+1 1 0 0 0 0 X 0 0 0 0 X 0 X X X 0 0 0 X X X X 0 X 0 X 0 X 0 0 0 0 X X 0 0 0 0 0 X 0 0 X X 0 X 0 X 0 X X X 0 0 0 0 0 X X X X 0 0 X X X 0 X 0 0 0 0 0 X 0 X 0 X X X X 0 X 0 0 X 0 0 X 0 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X 0 X 0 0 X X X 0 0 X X X 0 0 X X 0 0 generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+25x^28+34x^29+18x^30+16x^31+21x^32+38x^33+26x^34+8x^35+10x^36+22x^37+16x^38+8x^39+6x^40+2x^41+2x^42+1x^44+2x^46 The gray image is a linear code over GF(2) with n=66, k=8 and d=28. This code was found by Heurico 1.16 in 0.016 seconds.