The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 X^2 1 1 0 1 1 1 1 X^2+X 1 1 1 0 1 0 1 1 X 1 1 0 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 1 0 X^2+X+1 1 X+1 X^2 X^2+X 1 1 0 X^2+X+1 1 1 X+1 1 0 X^2+X 1 X^2 X^2+1 1 0 0 X 0 X^2+X 0 X^2+X 0 X X^2+X X^2+X X^2 X^2+X X^2 X 0 0 X^2+X 0 X^2+X 0 X^2 X^2+X X^2+X 0 X^2 X^2 0 X^2 X^2+X X^2+X X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 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+127x^26+24x^27+394x^28+240x^29+802x^30+744x^31+1247x^32+1056x^33+1250x^34+744x^35+808x^36+240x^37+352x^38+24x^39+96x^40+23x^42+14x^44+6x^46 The gray image is a linear code over GF(2) with n=132, k=13 and d=52. This code was found by Heurico 1.16 in 78.4 seconds.