The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2X 0 2X 1 1 1 1 1 0 X 1 1 1 1 X 0 1 1 1 0 X 1 1 1 X 1 1 1 1 1 X 1 1 0 1 1 1 0 X 1 X 1 1 1 2X 1 1 1 1 1 1 0 2X 1 1 1 1 1 0 X 2X 1 1 1 1 1 0 1 X 0 1 1 X 1 1 1 X 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 1 2 0 2X+1 X+2 X 1 0 1 2 X 2X+1 1 2X 2X+1 X X+1 1 1 2 2 1 1 2X 2X+2 X X X+2 1 0 2X+1 1 1 2X 2X+1 X 0 X+2 1 1 2 2X+2 1 X+2 2X+1 1 2X+1 X 0 1 1 2X+1 2 2X+1 2X 2 1 1 1 X+2 2 2X+2 X 2X 1 X+1 1 1 2X+1 X+1 0 2X+2 1 2X 1 2 2 2X+1 X X X+1 X+1 2X+1 1 X 0 0 1 1 2 2 X+2 X+1 2X 0 2X+1 2X+1 2 X+1 X 0 0 X+1 2X+2 0 1 2X+1 2X+2 2X+1 2X+2 2X+2 1 X 2X+1 2X+2 2X X+1 X 2 2X+1 X+1 X 1 2 2X+1 X+2 0 X+2 1 2 2 2X X 1 1 1 X 2X 0 1 2X X+2 2X+2 1 2 X+1 0 2X+2 X+1 0 X+1 2X 2X+2 X+1 0 1 0 2X X 2X+2 X 1 2X 0 2X+1 X+1 X+1 2 1 2X+2 X+1 X+2 1 X+2 X+2 X+2 2X+2 1 2 1 1 2X+1 2X 0 0 0 2X 0 0 0 2X X X X 0 X 2X 2X 2X 0 2X X X X 0 2X X 2X 2X X 2X 0 X 2X 0 X 2X X X 0 X 0 2X 2X 0 X X X 2X 2X 0 0 0 2X 0 2X X 0 2X 2X 0 0 X 0 X 0 X 2X 0 0 2X X 2X 2X X 0 2X X 2X 2X X X 2X 2X 2X 0 X X 0 0 2X 0 0 0 0 X 0 2X 2X 0 2X 0 0 0 0 X 0 2X 0 0 0 0 2X X X X 2X 2X X 2X 2X X 2X 0 2X 2X 0 2X 2X 2X 0 0 0 2X 0 2X 2X X X X X 2X 0 X X 2X X X X X 2X X X 0 X 0 2X X X X X 0 0 2X X X 0 0 0 X X 2X X X X X 2X 0 X X 2X 2X 0 X 2X 0 2X X X 2X 0 0 2X 2X X 0 X 2X 0 0 0 0 0 0 2X X 0 0 2X 2X X 2X 0 X X X X 2X 0 X 0 X X 0 2X 2X 2X 2X X 0 0 0 2X 0 2X 0 2X X 0 0 2X 2X X 2X 2X 2X X 0 X 2X 0 2X 2X 2X 2X 0 2X X 0 0 X 0 2X X X 0 0 0 2X 0 0 X 2X X 0 X X X X 2X X 0 0 0 2X 2X 2X 2X 0 X 2X 0 2X 2X X 0 2X generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+110x^180+78x^181+132x^182+634x^183+252x^184+378x^185+1100x^186+516x^187+504x^188+1248x^189+468x^190+534x^191+1440x^192+690x^193+606x^194+1382x^195+516x^196+600x^197+1260x^198+546x^199+534x^200+1362x^201+516x^202+456x^203+992x^204+396x^205+306x^206+638x^207+240x^208+180x^209+412x^210+108x^211+72x^212+188x^213+30x^214+48x^215+104x^216+18x^217+24x^218+30x^219+8x^222+12x^225+8x^228+2x^231+2x^234+2x^246 The gray image is a linear code over GF(3) with n=294, k=9 and d=180. This code was found by Heurico 1.16 in 10.3 seconds.