The generator matrix 1 0 1 1 1 1 1 1 0 1 1 2X^2 1 2X^2+X 1 1 1 1 2X 1 1 1 1 1 2X^2+X 1 1 1 1 1 2X 0 1 X 1 2X^2 1 2X 1 X^2+2X 1 1 X^2+X 1 1 1 1 2X^2+2X 1 2X^2+X 1 1 2X^2 1 0 1 1 X^2+2X 1 2X^2+X 1 1 1 2X X^2+2X 1 1 1 1 1 1 1 1 1 2X^2+X 1 1 1 1 1 1 X^2+2X 1 0 1 1 1 X 0 1 1 2 2X^2+X 2X^2+X+2 2X^2+2X+1 2X 1 2 2X^2+X+1 1 2X^2+2X+2 1 X 2X+1 1 2X^2+2 1 2X+2 X^2+X+1 2X^2+2X X^2+2X X^2+X+1 1 2X^2+X+2 0 2X^2+X X+2 X^2+1 1 1 2X^2 1 2X^2+2X+1 1 2X+2 1 1 1 X+2 X^2+X 1 2 2X^2+X 2X^2+1 2X+1 1 X^2 1 2X^2 2X+2 1 X^2+2 1 2X^2+X+1 X^2+2X+2 1 2X^2+2X+1 1 2X^2+2 X^2+X+1 2X+2 1 1 X^2+2X+2 X^2+1 X^2 1 X^2+2X+1 X+2 2X+2 2X^2+X+2 1 1 X 2X+1 X^2+2X+2 2X^2+X+2 2X^2 2X^2+2X 1 2X^2+2 1 X 2X+1 2X+2 X^2+2X 0 0 2X 0 2X^2 2X^2 X^2 0 2X^2+2X X^2+2X X X^2+X X 2X^2+2X 2X^2+X X 2X^2+X X 0 X^2+2X 2X^2+2X 2X^2+X X^2+2X 2X^2 2X^2 2X 2X^2+2X 2X^2+2X X X^2 2X 2X^2 X^2+X X 2X X^2+2X 2X^2 X X 2X^2 2X^2+X X^2 X 2X^2 X^2 X^2 X^2+X X^2+X X^2 2X 2X^2+X 0 2X^2+2X X^2+X 0 X^2+X 2X^2+X 2X^2+2X 2X^2 2X 2X^2+2X 2X 2X^2+2X 2X^2+X 2X 2X^2+X 2X^2 2X X X^2 2X^2+2X X^2+2X 2X^2 X^2+2X 2X^2 X^2+2X X^2+X X^2 0 0 0 X^2+X 2X^2+X X X X^2+2X 0 2X 0 0 0 X^2 X^2 0 2X^2 2X^2 X^2 0 X^2 X^2 0 2X^2 0 0 2X^2 2X^2 2X^2 2X^2 2X^2 0 0 0 2X^2 X^2 2X^2 X^2 0 X^2 0 2X^2 0 X^2 X^2 2X^2 X^2 0 X^2 X^2 X^2 X^2 2X^2 0 0 0 X^2 X^2 2X^2 X^2 X^2 0 0 0 X^2 0 X^2 2X^2 0 0 X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 0 0 X^2 2X^2 0 X^2 X^2 X^2 2X^2 2X^2 0 X^2 X^2 0 2X^2 2X^2 X^2 2X^2 0 2X^2 2X^2 generates a code of length 88 over Z3[X]/(X^3) who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+316x^168+666x^169+504x^170+1586x^171+1512x^172+1170x^173+1974x^174+1908x^175+1260x^176+1956x^177+1602x^178+792x^179+1538x^180+1134x^181+558x^182+440x^183+468x^184+90x^185+48x^186+24x^189+50x^192+56x^195+8x^198+20x^201+2x^207 The gray image is a linear code over GF(3) with n=792, k=9 and d=504. This code was found by Heurico 1.16 in 2.01 seconds.