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 2X^2+2X 1 1 1 2X^2+2X 2X^2 1 1 2X^2+2X X^2 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 2X^2+X+2 1 2X^2+X+2 2X+2 X^2+2X 1 1 2X^2+X+1 X^2+X+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+X 2X^2+2X 2X X^2 0 X^2+2X 2X^2+2X 2X X^2 X 2X^2 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+780x^193+576x^194+356x^195+1332x^196+648x^197+132x^198+798x^199+306x^200+108x^201+510x^202+324x^203+124x^204+354x^205+90x^206+102x^208+2x^213+6x^214+2x^216+6x^220+2x^222+2x^240 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 547 seconds.