The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 1 2X 1 1 0 1 1 1 1 1 1 1 2X^2+X 2X 1 1 2X^2+X 0 1 1 1 2X 1 1 1 1 1 1 X^2 X^2+2X 1 2X^2+X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 2X^2+2X 1 X^2+X 1 2X^2+2X 1 1 1 1 1 1 1 0 2X^2 1 2X^2 1 1 1 X 2X 1 1 1 1 0 X^2 0 1 X 1 1 1 1 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X 2X^2+1 2X+2 1 2X^2+2X+1 0 1 2 2X^2+X+2 2X^2+X X+1 2X+2 2X 2X^2+1 1 1 2X 2X^2+1 1 1 2X^2+X+2 2X^2+2X+1 2X^2+X 1 2X+2 0 X+1 X^2+2 X^2 2X^2+2X+1 1 1 2X^2+X+2 1 X+1 2X^2+X 2X^2+X+2 2 2X^2+1 X^2+2X X+1 0 2X 2X+2 X^2+X X^2+X X^2+X+2 X^2 2 1 X^2 X^2+1 X^2+2 X^2+2X+2 1 1 0 1 X^2+X+1 1 2X^2+2X+2 X+2 X^2+2X+1 2X+2 2X^2+1 2X+1 X^2+2X+2 1 1 2X^2+2X+1 1 X 2X^2+X X+2 1 1 2X^2+2 2X+1 2X+2 X^2+2 1 1 1 X^2+2X+1 1 X^2 2X 2X+1 X^2+X X^2+X+1 0 0 2X^2 0 0 0 X^2 X^2 X^2 X^2 0 2X^2 X^2 0 2X^2 0 0 X^2 2X^2 2X^2 2X^2 X^2 2X^2 0 X^2 2X^2 2X^2 0 2X^2 X^2 0 0 2X^2 X^2 2X^2 0 2X^2 2X^2 2X^2 0 0 2X^2 0 0 2X^2 2X^2 X^2 0 2X^2 2X^2 X^2 X^2 X^2 2X^2 2X^2 0 2X^2 X^2 2X^2 0 X^2 X^2 0 0 0 X^2 2X^2 X^2 X^2 0 X^2 2X^2 X^2 0 X^2 0 0 2X^2 2X^2 X^2 X^2 0 2X^2 0 0 X^2 2X^2 X^2 X^2 2X^2 X^2 0 0 2X^2 0 X^2 2X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2 X^2 2X^2 0 2X^2 2X^2 X^2 X^2 0 X^2 2X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 2X^2 2X^2 2X^2 0 2X^2 2X^2 X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 0 2X^2 2X^2 0 2X^2 0 2X^2 0 2X^2 X^2 X^2 2X^2 X^2 2X^2 X^2 0 0 2X^2 2X^2 2X^2 0 2X^2 X^2 2X^2 0 X^2 2X^2 X^2 0 2X^2 0 0 X^2 X^2 2X^2 0 0 2X^2 0 X^2 2X^2 0 0 X^2 0 0 0 0 2X^2 X^2 2X^2 0 X^2 0 0 0 X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 0 2X^2 0 2X^2 0 X^2 X^2 0 2X^2 X^2 2X^2 X^2 0 2X^2 X^2 X^2 X^2 0 X^2 X^2 2X^2 0 2X^2 2X^2 0 X^2 2X^2 X^2 X^2 2X^2 0 X^2 2X^2 X^2 X^2 0 X^2 0 2X^2 2X^2 0 0 X^2 0 2X^2 2X^2 X^2 2X^2 2X^2 0 X^2 2X^2 2X^2 X^2 2X^2 2X^2 0 0 0 0 X^2 X^2 0 0 X^2 2X^2 X^2 0 2X^2 2X^2 X^2 X^2 0 0 2X^2 0 2X^2 generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 187. Homogenous weight enumerator: w(x)=1x^0+240x^187+594x^188+460x^189+1014x^190+1470x^191+974x^192+1416x^193+1590x^194+920x^195+1392x^196+2094x^197+1236x^198+1692x^199+1794x^200+892x^201+816x^202+504x^203+118x^204+144x^205+138x^206+48x^208+48x^209+2x^210+36x^211+30x^212+2x^213+6x^214+2x^216+4x^219+4x^222+2x^225 The gray image is a linear code over GF(3) with n=882, k=9 and d=561. This code was found by Heurico 1.16 in 54 seconds.