The generator matrix 1 0 0 1 1 1 1 1 1 2X^2 1 1 2X^2+X 1 1 1 X 2X^2+X 1 1 X^2+X 1 2X 2X^2+2X 1 1 1 1 1 1 X^2 1 X^2+X 1 1 1 X^2+2X 1 1 0 1 1 1 1 2X^2+2X 2X^2 1 1 X^2 1 1 1 1 2X 1 1 X 1 1 1 2X^2+X 1 2X^2+2X 1 X^2+X 1 1 1 2X 1 1 1 2X^2 1 1 2X^2 X^2+X 1 X^2+2X 1 1 1 1 X^2+2X 1 1 1 1 2X^2 1 1 1 2X^2 1 1 1 1 1 1 0 1 0 2X^2 1 2X^2+1 2X^2+2 X 2 1 2X^2+2X+1 2X^2+2X+2 1 X^2 2X^2+X+2 X^2+2X+1 1 2X X^2+2X+2 2X 1 X^2+X 1 1 2X^2+X+1 X+1 X+2 2X^2+X+1 2X^2+1 2X^2+X 1 X^2+2X 0 2X^2+X+1 X^2 X^2+X+1 1 2X+1 X+2 1 2X^2+2X X 2X^2 X^2+2X+2 1 X^2+2X X^2+X+2 2X+1 1 X^2+X+1 2X^2+X 2X+2 X^2+2X+1 1 2X^2+X+2 0 1 X^2+1 2X^2+2X 1 1 X^2+2X+1 1 2X^2+X 1 2X^2+2 2X X+2 2X 2X 1 2X^2+X 1 2X+2 2X 1 X 2X^2+2X+2 1 2X+1 2 X^2+X+1 2 1 X^2+X+1 X^2+1 2X^2 X^2+X 2X^2+X X^2+2X 2X^2+2X+2 X^2+X 2X^2+2X X+2 X^2+2X+2 2X^2+X+2 2X^2+2 1 X 0 0 1 2X^2+2X+1 2X+1 2X^2 X^2+X+2 X+2 X^2+2X 2X^2+1 2X^2+2X+2 2X^2+1 2X^2+2 X^2+X 2X^2+X+2 X^2 X^2+1 1 2X^2+2X 2X+2 0 X^2+1 X^2+1 2X^2+2 2X^2+2X+2 2X^2+X 2X^2+2X+1 1 2X+2 X+1 X^2+X+1 2X^2+2 1 2X^2+X+1 X^2+2X X^2 X^2+X X^2+1 1 2X+2 2X X 2X^2+1 0 X^2+2X+2 1 2 2X^2+2X X X+2 X^2+2X+2 2X^2+2 2X^2+X+1 X+1 2X^2+2X+2 X+1 X^2+X 2 X^2+X+1 2X X^2+2X+2 2 2X^2 2X^2+2X+1 2X^2+X+2 X^2+2X+1 X^2+X 2X^2+2X 1 0 1 2X^2+2 2 2X^2+X+1 2X^2+X+2 X^2+X+2 1 2X^2+X 2X^2+X+2 2X^2+X 2X^2 2X^2+2 X^2+2X+2 2X^2+2X 2X+1 X+1 2 X+1 1 X^2+2X+1 X^2+2X+2 X^2 1 X 1 0 2X^2+1 X^2+X X^2+2X generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 191. Homogenous weight enumerator: w(x)=1x^0+480x^191+834x^192+1692x^193+1878x^194+1638x^195+2190x^196+1848x^197+1558x^198+1338x^199+1098x^200+792x^201+930x^202+726x^203+400x^204+684x^205+540x^206+338x^207+276x^208+234x^209+186x^210+18x^211+2x^213+2x^216 The gray image is a linear code over GF(3) with n=891, k=9 and d=573. This code was found by Heurico 1.16 in 1.63 seconds.