The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 2X^2 1 1 1 X 1 2X^2 1 1 1 1 1 0 1 0 X 0 0 2X 2X^2+X X 2X^2+2X 2X X^2 X X X^2+X 2X^2+2X 2X^2+2X X^2 2X X^2 2X^2 X^2+X 2X 2X X^2+X X^2+X 0 2X^2+2X 2X 2X^2 X^2+2X X^2+2X 0 2X^2 2X 0 2X^2+X X^2+X X^2 X^2+X X^2 X^2+2X 2X^2+2X X X^2 X^2+2X 2X X^2 X^2+2X 0 2X^2+X X 0 2X^2 X^2+2X X^2+X 2X^2 X^2+X X 2X^2+X X^2+2X 2X^2+2X 2X^2+2X 2X^2 X^2+2X 2X X^2 X^2 X^2+2X X 2X^2 X X^2 X^2+2X 2X^2 X X^2+2X 2X^2 X^2+2X 2X^2+X X^2+X X^2+X X^2+2X X X X 2X^2+2X 2X^2+2X X^2+2X X 2X^2+X 2X 2X^2+2X X^2+2X 2X^2 X X^2+X 0 0 X 2X 0 X^2+2X X 2X^2+X 2X X^2+2X 2X^2+X 2X^2 2X X^2 2X^2+X 2X^2 X^2+2X 2X^2 2X^2+X 2X^2 0 X^2+2X 2X^2+2X X^2+X 2X^2+2X X X^2+X X 2X 2X^2 X^2+X 2X^2+2X 2X^2+X X^2 X^2+2X 2X^2 X X 2X^2 2X^2+2X X^2 2X X^2+2X 0 X^2+2X 2X^2+X X^2+X 2X^2 X^2+X 2X^2+X X^2+2X 0 0 X^2+2X 2X^2+X 2X^2 2X^2+2X X^2 2X 2X^2 X 2X^2+X 0 2X^2+X X^2+X 2X^2+2X 2X^2+2X 2X^2 X^2+2X 2X X^2+2X 2X X^2 2X X^2+2X 0 X 0 X 0 2X^2+2X X 2X^2+2X X^2 X^2+X X 2X^2 2X^2+X 2X^2 X^2 2X^2 X^2 X^2+X 0 2X^2+2X 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2 0 X^2 2X^2 X^2 0 2X^2 2X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 2X^2 0 0 0 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2 0 0 0 0 X^2 2X^2 X^2 X^2 X^2 0 2X^2 2X^2 0 0 2X^2 X^2 0 2X^2 X^2 X^2 2X^2 2X^2 X^2 0 2X^2 2X^2 0 2X^2 X^2 X^2 X^2 X^2 2X^2 X^2 X^2 2X^2 0 2X^2 0 2X^2 0 0 2X^2 2X^2 X^2 2X^2 X^2 X^2 0 X^2 0 0 2X^2 0 0 2X^2 2X^2 0 2X^2 X^2 X^2 2X^2 0 2X^2 X^2 X^2 0 X^2 2X^2 2X^2 X^2 2X^2 X^2 0 0 0 0 0 2X^2 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 0 2X^2 X^2 X^2 2X^2 0 0 2X^2 X^2 generates a code of length 95 over Z3[X]/(X^3) who´s minimum homogenous weight is 179. Homogenous weight enumerator: w(x)=1x^0+336x^179+226x^180+672x^182+288x^183+54x^184+882x^185+700x^186+324x^187+3012x^188+1676x^189+2106x^190+5028x^191+1620x^192+432x^193+708x^194+202x^195+336x^197+116x^198+228x^200+156x^201+228x^203+52x^204+150x^206+40x^207+66x^209+24x^210+18x^212+2x^270 The gray image is a linear code over GF(3) with n=855, k=9 and d=537. This code was found by Heurico 1.16 in 4.27 seconds.