The generator matrix 1 0 0 0 1 1 1 X^2 1 X^2+X X^2 1 1 0 1 1 0 X^2+X 1 1 0 1 0 1 1 0 1 0 0 0 1 1 1 X^2+X+1 1 1 X^2+1 X^2 X 0 X^2+X+1 X 1 1 X^2 1 X^2 0 1 X 0 0 1 0 1 1 X X+1 X X+1 X X+1 X^2+X+1 1 X^2 X^2+1 1 X^2+1 X^2+X X+1 X^2 0 X^2+X X X 0 0 0 1 1 0 X+1 1 X^2 0 X+1 1 X X 1 0 X+1 X+1 X+1 X^2+1 X^2+X X^2 1 X^2+X 0 0 0 0 0 X 0 0 0 0 X^2 X^2 0 X^2+X X^2 X^2 X^2+X X X X^2+X X^2+X X X X X 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 generates a code of length 25 over Z2[X]/(X^3) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+67x^18+350x^19+747x^20+1742x^21+2181x^22+3932x^23+4202x^24+6196x^25+4102x^26+4336x^27+2292x^28+1552x^29+618x^30+276x^31+117x^32+44x^33+7x^34+2x^35+1x^36+2x^37+1x^38 The gray image is a linear code over GF(2) with n=100, k=15 and d=36. This code was found by Heurico 1.16 in 10.5 seconds.