The generator matrix 1 0 1 1 1 1 1 0 1 1 1 X 1 0 1 0 X 1 1 1 0 X 1 1 1 1 1 1 1 1 2X 1 2X 0 1 1 2 0 2X+1 2 1 2 0 2X+1 1 0 1 2X+1 1 1 X X 2X+1 1 1 X+1 X+1 2X+1 1 2X+1 2X X+1 1 1 1 1 0 0 2X 0 0 2X 0 X X 0 X 2X 2X 0 X X 0 2X X 2X 0 X 0 2X 2X 0 X X X X X 0 0 0 0 0 X 0 2X 2X 2X 2X X X X X 0 0 0 2X 0 2X X X X 2X 2X 2X 0 0 X 2X 2X X X 2X 0 0 0 0 X X X 0 2X 2X 2X 0 0 X X 2X 2X X X 2X 2X 0 2X 0 2X 2X 0 0 0 X 2X X 0 generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+102x^58+100x^60+276x^61+164x^63+288x^64+216x^66+318x^67+200x^69+312x^70+16x^72+144x^73+12x^76+20x^78+6x^79+6x^81+4x^87+2x^90 The gray image is a linear code over GF(3) with n=99, k=7 and d=58. This code was found by Heurico 1.16 in 1.1 seconds.