The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 1 X 0 1 1 X 1 1 1 X 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2 X^2+X 0 X^2+X 0 X^2+X X^2 X 0 0 0 X^2 0 X^2+X X 0 X^2+X X X^2+X X X^2+X X X^2+X X^2 X^2+X 0 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+44x^26+20x^27+82x^28+104x^29+71x^30+364x^31+63x^32+560x^33+68x^34+364x^35+72x^36+104x^37+55x^38+20x^39+32x^40+16x^42+6x^44+1x^46+1x^54 The gray image is a linear code over GF(2) with n=132, k=11 and d=52. This code was found by Heurico 1.16 in 3.61 seconds.