The generator matrix 1 0 0 0 0 1 1 1 X^2+X 1 0 X^2 1 1 1 1 1 1 X^2 1 X X^2 X^2+X X^2 1 1 X X^2+X X 1 1 0 1 0 1 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X X X^2+X+1 X+1 X^2+1 1 1 1 1 1 X 1 X 1 1 X X^2+X X^2+X+1 1 0 0 0 1 0 0 X^2 0 X X^2+X X^2+X+1 1 1 X^2+X+1 X^2+X+1 X+1 X 1 X^2+X X^2+1 X+1 X^2+1 X^2+X+1 X 1 1 X 0 X^2+1 X^2 X X+1 X^2+1 1 0 0 0 1 0 X^2+1 X 1 1 X X+1 X^2+X X^2+1 X^2+X+1 X^2 X+1 0 0 X^2 0 1 X+1 X X+1 X^2+X+1 X^2+X+1 X^2+X+1 X^2+X 1 X 1 X 1 0 0 0 0 1 1 X+1 X^2 1 X^2+1 X+1 1 X^2+X+1 X X^2 X^2+X+1 X X+1 X X^2+1 0 X+1 X+1 X^2 X^2+X X^2+X 1 1 X^2+1 0 X^2+1 0 X^2+X 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+218x^26+602x^27+1148x^28+2060x^29+2503x^30+3362x^31+4078x^32+4666x^33+3988x^34+3794x^35+2680x^36+1858x^37+1007x^38+464x^39+215x^40+70x^41+28x^42+16x^43+6x^44+2x^45+2x^47 The gray image is a linear code over GF(2) with n=132, k=15 and d=52. This code was found by Heurico 1.13 in 5.72 seconds.