The generator matrix 1 0 0 1 1 1 0 1 X^2 1 1 X X^2+X 1 1 1 X^2+X 1 X^2 1 1 X 0 1 1 1 1 1 1 1 1 X^2+X X^2+X 0 1 0 0 1 X^2+1 1 X 1 1 X^2+X 1 X^2 X^2+X+1 X+1 0 1 X+1 1 X^2+X 0 X X^2 X^2+1 X^2+1 X X+1 X+1 X^2+1 1 X+1 1 1 0 0 1 X+1 X^2+X+1 0 X+1 X^2+1 X^2+X 1 X^2 X^2+1 1 X^2+X 0 X^2+1 X^2 X^2+1 1 X^2+X X^2+1 1 1 X+1 X+1 X^2+X+1 0 1 1 X^2+1 1 X^2+X+1 X^2+1 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 29. Homogenous weight enumerator: w(x)=1x^0+172x^29+221x^30+356x^31+201x^32+324x^33+166x^34+248x^35+108x^36+100x^37+54x^38+68x^39+10x^40+12x^41+6x^42+1x^46 The gray image is a linear code over GF(2) with n=132, k=11 and d=58. This code was found by Heurico 1.16 in 30.2 seconds.