The generator matrix 1 0 1 1 1 1 1 X 1 2X 1 1 1 1 1 2X X^2 1 1 1 1 X^2+X 1 1 1 1 1 2X^2 2X 1 1 1 1 1 X 1 1 1 2X^2+X 1 2X^2+2X 1 1 2X 1 1 1 2X^2+2X 1 1 1 1 X 1 2X^2+X 1 1 2X^2 2X^2 1 1 1 1 1 1 1 1 1 X^2 1 1 X^2 1 2X^2 X 1 1 X^2 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 X X 1 0 1 1 2 2X^2 2X+1 2 1 2 1 0 2X^2+2X+1 2X^2+2X+1 2X^2 X+2 1 1 X+1 0 2X^2+X+2 0 1 1 2X^2+2X+2 X^2 2X^2+2X+2 2X+1 1 1 2X+1 2X^2+2 2X^2+X 1 X^2+2 1 2X^2+X 1 X^2+2X+2 1 X 1 2X^2+1 2X^2+2X+2 1 2X^2+1 2X^2+X+2 X+1 1 2X^2+2X X^2+2X 2X+1 2X^2+X+2 1 2X^2+X+2 1 2X^2+X 2X+2 1 1 X^2+2X 2X+2 1 X^2+2X 2X^2+X+1 X X^2+1 X+1 X+1 1 X^2+2X 2X 1 X^2+2X+2 1 1 X^2+X+1 X+2 1 X+2 X^2+2X+1 X+2 X^2+2X+2 2X+2 2X+1 X^2+X+1 X+1 2X^2+2X+1 2X^2+X+2 X^2+2X+1 X^2+2X 1 X^2+2 2X^2 X^2 2X^2 0 0 2X 0 2X^2 0 0 X^2 X^2 0 2X^2 2X^2 2X^2 2X^2+X 2X^2+X X^2+2X X X^2+X X^2+2X X^2+2X 2X^2+X X^2+X X^2+2X X 2X^2+2X X X X X^2+2X 2X X^2+2X X^2+2X X^2+X X^2+2X X^2+2X X^2+X 2X^2+2X 0 X^2 0 2X^2+2X 2X^2+X X^2 2X^2 X^2+X 2X X^2 0 2X^2+X 2X^2+2X X^2+X 2X 2X^2+X X 2X^2+X X^2 0 X^2 2X^2+X X^2+2X X^2+2X 2X^2 0 2X X^2+X X^2+2X 2X^2+X 0 X^2 X^2+X 2X^2+X 2X^2+2X X^2 X^2+2X 2X^2+X X 2X^2+2X X^2+X 2X 2X^2+2X X^2+X X^2+2X 2X^2+2X X^2 X^2+2X X^2+2X X 0 2X^2+X 2X 2X^2+2X 2X^2 X^2+2X 2X^2 X^2+2X 0 0 0 X 2X^2+X X^2+X X^2 X X^2+2X X^2+2X 2X 0 2X^2+2X 2X^2+2X X^2+2X X^2+2X 2X^2 X^2+2X 0 2X^2 X^2 X 2X^2+X 2X^2 X^2+X 2X^2+X 0 2X 0 X^2+2X 2X X^2+2X X^2+X X^2+X X X 2X^2 2X^2+X X^2+2X 0 2X^2+X X^2 X^2+2X X^2 2X X^2+X 2X^2 X^2+X X 2X^2+X X 2X^2+2X X^2 2X^2 X^2+2X 2X 2X^2 0 X 2X X^2 2X^2 X 2X^2+X 0 2X 2X 2X 2X^2+2X 2X^2+2X 2X^2 2X^2+2X 2X^2+X X X^2+X X^2+X X^2 0 2X^2+X X 2X^2 X^2+2X 2X^2+2X X^2 0 2X^2 X^2+X X^2+2X 0 X^2+X X 2X^2 X^2 2X^2+X X 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+408x^179+430x^180+630x^181+1566x^182+1900x^183+1962x^184+3672x^185+3594x^186+2880x^187+4968x^188+4558x^189+4446x^190+5760x^191+5100x^192+3852x^193+4506x^194+2832x^195+1980x^196+1746x^197+872x^198+270x^199+360x^200+230x^201+18x^202+120x^203+60x^204+114x^206+64x^207+48x^209+22x^210+36x^212+12x^213+18x^215+6x^216+6x^218+2x^219 The gray image is a linear code over GF(3) with n=855, k=10 and d=537. This code was found by Heurico 1.16 in 15.5 seconds.