The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X^2 X 1 1 1 1 1 X^2 X X X 1 1 1 1 1 1 0 X 0 X 0 0 X X^2+X 0 X^2 X X^2+X 0 X^2+X X^2 X X X X^2+X 0 X X X^2 X X^2+X X^2+X X X^2+X X^2+X X^2+X X^2 X^2+X 0 0 0 X X 0 X^2+X X 0 X^2 X X 0 X^2 X^2+X X X X X^2+X 0 X^2 0 X^2+X X X X^2 0 X^2+X X^2+X X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 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 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 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+18x^26+54x^27+76x^28+104x^29+145x^30+210x^31+277x^32+304x^33+288x^34+202x^35+127x^36+92x^37+54x^38+46x^39+26x^40+8x^41+6x^42+4x^44+4x^45+1x^46+1x^52 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 0.134 seconds.