The generator matrix 1 0 0 1 1 1 X^2+X 1 1 1 X 1 X X^2+X X^2 1 1 1 1 0 0 X 1 X^2+X 1 1 1 1 1 X 1 X^2+X 1 0 1 0 1 0 1 1 X 1 X 1 1 X^2+X 1 1 X^2+1 X X^2 X+1 X 1 X^2+X X^2+X+1 1 X+1 X+1 X^2+X X^2 1 1 X 1 X^2+X 0 0 1 1 1 0 1 X+1 1 X X^2+X X^2 1 X^2+1 1 X^2+1 X^2+1 0 X^2 1 X+1 1 X^2+X+1 X+1 1 X^2 X+1 X^2 X X^2+X 0 X+1 X^2 0 0 0 X 0 0 0 0 0 0 0 0 X^2 X^2 X X X^2+X X^2+X X^2+X X X^2+X X X^2 X X X X^2 X X X X^2+X X^2 X^2+X 0 0 0 0 X 0 0 0 X^2 X X X X X^2+X 0 X^2+X X^2+X X X X X^2+X X^2 X^2+X X^2+X X^2+X X X X^2+X X^2 X^2+X 0 X^2+X X^2+X 0 0 0 0 0 X X^2+X X^2+X 0 X X^2+X X^2 X^2+X 0 X^2+X X^2+X 0 X X^2 X X^2 0 X X^2+X 0 X^2+X X X^2 X^2+X X X X^2+X 0 generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 25. Homogenous weight enumerator: w(x)=1x^0+72x^25+329x^26+546x^27+1000x^28+1608x^29+2603x^30+3734x^31+4233x^32+4484x^33+4254x^34+3742x^35+2704x^36+1600x^37+979x^38+474x^39+218x^40+108x^41+56x^42+16x^43+4x^44+2x^46+1x^50 The gray image is a linear code over GF(2) with n=132, k=15 and d=50. This code was found by Heurico 1.16 in 17.4 seconds.