The generator matrix 1 0 1 1 1 1 1 1 2X^2 1 0 1 1 1 X^2 1 1 2X^2+X 1 1 X^2+2X 1 1 1 1 1 1 1 2X^2+X 2X 1 1 1 X^2+2X 1 1 1 1 1 1 1 1 2X 1 1 1 2X X^2+X 1 1 1 X 1 2X^2 1 1 1 1 1 1 1 2X^2+X 1 X^2+2X 1 1 1 1 1 1 1 1 1 2X^2 2X 0 1 1 2X^2+2X 1 1 1 1 1 1 1 X X 1 1 2X^2 1 0 1 1 2 2X^2 2X^2+2 0 2X^2+1 1 2 1 2X^2+2X+1 2X^2+X+1 2X^2+2 1 2X^2 X+2 1 2X^2 2X+2 1 1 2X^2+1 0 2X+1 X+1 2X^2+X+2 2X^2+2X+2 1 1 X 2X^2+2X+1 2X^2+X+2 1 2X^2+2X X+1 X 2X^2+2X 2X^2+X+1 X^2+2X+2 2X^2+X X+2 1 2X X^2+2X+2 2X^2+X+1 1 1 2X 2X X^2+2X+1 1 X^2+2X+2 1 X^2+2 X+1 2X^2+2X 2X^2+X 2X^2+2X+1 2X^2+2 2X+2 1 X+2 1 2X^2+X+2 2X+2 X+2 2X^2+X+2 1 2X+1 2X^2+X X^2+2X+2 X^2+X 1 1 1 0 X^2+X 1 2X^2+X X^2+2 X^2+2 X+1 X^2+2X 2X^2+2X X^2+X 1 1 X^2+X 2X^2+2 1 2X^2+2X+1 0 0 2X X^2 X^2+X 2X^2+X X^2+2X 2X^2+2X X X^2+2X X^2+2X 2X^2 X^2+X 2X^2 X^2+X X^2 X 2X X X^2+2X X^2 2X^2+X 0 2X X^2+X 0 2X^2+2X X 0 X^2+2X X 2X X^2 X^2+X X^2+X 2X^2+2X 2X^2 X^2+2X 2X^2 2X^2+X 2X 0 2X^2 2X^2 2X^2+2X 2X^2+X 2X X X^2 2X 2X^2+X X^2+X 0 2X 2X^2+2X X^2 X X^2+X 0 0 2X^2+X X^2+2X 2X^2 X X^2+X X^2 X^2+2X 2X^2+X X^2+X X^2 0 2X^2 X^2+2X 2X^2+X 2X^2+X 2X^2+2X 2X^2 X^2+X 2X^2+2X X^2 X 2X 2X 0 2X^2+2X X X^2 2X^2+2X 2X^2+2X 2X 2X^2 2X^2+2X generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 179. Homogenous weight enumerator: w(x)=1x^0+660x^179+924x^180+144x^181+1086x^182+956x^183+72x^184+588x^185+444x^186+72x^187+546x^188+516x^189+36x^190+330x^191+148x^192+24x^194+4x^201+2x^207+6x^209+2x^219 The gray image is a linear code over GF(3) with n=828, k=8 and d=537. This code was found by Heurico 1.16 in 1.16 seconds.