The generator matrix 1 1 1 1 1 1 X X 0 1 1 0 X 2X 0 2X^2+X 2X 2X^2+X 2X X 0 2X^2+X 0 0 X^2 0 0 0 2X^2 0 X^2 2X^2 2X^2 0 0 0 X^2 0 0 2X^2 X^2 X^2 X^2 X^2 0 0 0 0 2X^2 0 2X^2 X^2 2X^2 2X^2 0 0 0 0 0 0 X^2 0 2X^2 X^2 2X^2 X^2 generates a code of length 11 over Z3[X]/(X^3) who´s minimum homogenous weight is 15. Homogenous weight enumerator: w(x)=1x^0+132x^15+162x^16+294x^18+972x^19+4374x^20+648x^21+1944x^22+8748x^23+978x^24+1296x^25+110x^27+24x^33 The gray image is a linear code over GF(3) with n=99, k=9 and d=45. This code was found by Heurico 1.16 in 3.03 seconds.