The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 1 X 1 1 1 1 1 1 1 X 1 2X 2X 0 X 1 1 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 0 0 X 1 X 1 1 2X 1 1 0 0 1 1 1 1 1 1 1 2X 0 X 1 0 1 X 1 1 1 1 X 1 1 1 1 0 X 1 1 0 2X 1 2X 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 2X X 1 X+1 X+2 2X+1 0 2X X+2 X+1 1 1 1 1 1 0 2X+1 1 2X+1 1 2X 1 X 2X+1 0 1 X 0 2X+2 X+2 2X X 1 1 1 2 1 0 X 2X 1 1 1 1 X+2 2 2X 2X 2X+1 2X+1 0 1 1 1 X 2X X+1 1 2X+1 2 2X+1 2 X X 0 0 X 1 0 1 2X 1 1 2 X 2X 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 2X 2X 2 X+2 2X+1 X+2 X+2 1 1 1 2 X+1 2 2 1 1 2X+2 2 2X+2 1 2X+1 X+2 2X+1 2X+1 2X+2 1 X+1 2X+2 X+1 2X+1 X+2 X+2 X+1 X 2X+2 2X+2 2X 2 X+2 1 1 2X+1 X+1 X+2 2X X+2 2X+2 2X+1 X 2X X+2 X+1 X+2 X X+1 2X 2X+2 1 2 X+2 0 2X+1 1 0 2X+1 1 2 X 0 2X+1 2 2X+1 X+1 X+1 1 2X 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 0 2 X+1 2 2X X+1 2X 2 2X+1 X+2 2X+2 X+1 2 2X 2X 2X X 0 0 1 2 2 2X+1 2X+2 2X+1 X+1 2X 2X X+2 2X+2 0 1 2X+2 0 2X X+1 2X 1 2X+2 X+2 2X+1 2X X+2 2X+2 X+1 2X+2 2 0 1 2X X 2X+2 2 X X+1 1 X+2 2X+1 X 2X+1 X+1 0 X 2 0 2X+1 1 2X 1 X+2 2X 2X+2 0 2 2X 2X 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 2 2X+1 0 2X X X+1 1 2X+1 X+1 0 X+1 2X+2 2X+2 X+1 2X 2X+2 X 1 2X+2 2X+1 2 X+1 2X+1 1 X+2 2X+1 2 2X X X+1 2X+2 X 2X X+1 2X+2 X+2 X+2 1 X+1 2X X 2X 1 X 2X+2 2 X+2 X X+1 X+2 2X+2 2X X+1 2 2X+2 X+2 2 2 2X 2 2X+2 2X 1 2 1 1 X+1 2X 0 2X+2 0 X+1 1 1 X+2 X+1 generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+172x^180+228x^181+438x^182+866x^183+822x^184+1110x^185+1580x^186+1266x^187+1314x^188+2276x^189+1692x^190+1992x^191+2678x^192+2142x^193+1986x^194+2798x^195+2268x^196+2262x^197+3168x^198+2136x^199+2322x^200+3002x^201+2400x^202+2082x^203+2792x^204+1908x^205+1794x^206+2332x^207+1230x^208+1110x^209+1358x^210+846x^211+630x^212+654x^213+378x^214+300x^215+248x^216+114x^217+132x^218+104x^219+54x^220+24x^221+24x^222+12x^223+2x^225+2x^228 The gray image is a linear code over GF(3) with n=297, k=10 and d=180. This code was found by Heurico 1.16 in 110 seconds.