The generator matrix 1 0 1 1 1 1 1 1 2X^2 1 0 1 1 1 X^2 1 1 2X^2+X 1 1 X^2+2X 1 1 1 1 1 1 1 2X^2+X 2X 1 1 1 X^2+2X 1 1 1 1 1 1 1 1 2X 1 1 1 2X X^2+X 1 X 1 1 1 2X^2 1 1 1 1 1 1 1 2X^2+X X^2+2X 1 1 X^2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2X^2 1 1 1 2X^2+2X 1 1 1 1 1 1 1 X 2X X^2+X X^2+X 0 1 1 2 2X^2 2X^2+2 0 2X^2+1 1 2 1 2X^2+2X+1 2X^2+X+1 2X^2+2 1 2X^2 X+2 1 2X^2 2X+2 1 1 2X^2+1 0 2X+1 X+1 2X^2+X+2 2X^2+2X+2 1 1 X 2X^2+2X+1 2X^2+X+2 1 2X^2+2X X+1 X 2X^2+2X 2X^2+X+1 X^2+2X+2 2X^2+X X+2 1 2X X^2+2X+2 2X^2+X+1 1 1 2X 1 X^2+2X+1 2X X^2+2X+2 1 X^2+2 X+1 2X^2+2X 2X^2+X 2X^2+2X+1 2X^2+2 2X+2 1 1 X+2 X^2+X 1 2X+1 1 X^2+X+2 X^2+2 X+1 0 X^2+1 1 2X^2+X+1 2X^2+2X+2 2X+2 2X^2+2 2X^2+X+2 X^2+2X+1 X+2 X^2+2X+1 1 1 X^2+1 X^2+1 X^2+1 1 X^2+2X+2 X^2+2X 2X^2+2X 2X^2+X+2 2X^2+1 2X^2+2X+1 X^2+2X+1 X^2+2X 1 1 1 0 0 2X X^2 X^2+X 2X^2+X X^2+2X 2X^2+2X X X^2+2X X^2+2X 2X^2 X^2+X 2X^2 X^2+X X^2 X 2X X X^2+2X X^2 2X^2+X 0 2X X^2+X 0 2X^2+2X X 0 X^2+2X X 2X X^2 X^2+X X^2+X 2X^2+2X 2X^2 X^2+2X 2X^2 2X^2+X 2X 0 2X^2 2X^2 2X^2+2X 2X^2+X 2X X X^2 X^2+X 2X^2+X 2X 0 2X 2X^2+2X X^2 X X^2+X 0 0 2X^2+X X^2+2X X 2X^2 X^2+2X 0 X^2 X^2+X X^2+2X X 2X 2X^2 2X^2+2X X^2 X^2+2X 2X^2+2X 2X^2 X^2+X 2X^2+X 2X^2+2X X^2+2X X X^2 2X^2+X 0 X 2X^2+X 2X^2+X X^2 0 2X^2+2X 2X 2X^2 X^2+2X 2X X^2+X 0 X^2 2X^2+X generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 193. Homogenous weight enumerator: w(x)=1x^0+588x^193+1062x^194+454x^195+768x^196+864x^197+150x^198+498x^199+486x^200+132x^201+486x^202+414x^203+110x^204+192x^205+234x^206+38x^207+42x^208+18x^209+6x^211+12x^214+2x^216+2x^225+2x^234 The gray image is a linear code over GF(3) with n=891, k=8 and d=579. This code was found by Heurico 1.16 in 19.2 seconds.