The generator matrix 1 0 0 0 1 1 1 1 1 2X 1 1 1 1 1 1 1 2X 1 X 1 0 1 1 1 1 1 1 0 2X 1 0 X X 1 1 1 1 1 1 1 1 2X 1 0 1 1 1 0 2X 0 1 1 1 1 X 0 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 1 1 X 1 1 1 0 1 2X 1 0 0 1 X X 2X 1 1 1 0 1 0 1 0 0 0 0 2X+1 2X+1 X+1 1 2 X+2 2X 2X+2 1 X+2 X+2 1 2X 0 X+1 1 2X+1 2X 0 2X+2 X+2 X+1 1 1 2X 1 X 1 X+1 X+1 2X+2 2 2X+2 1 2 X+2 1 X 2X X+1 2X X 1 1 1 0 2X+1 X+1 1 1 1 0 X+2 2X+2 2X 2X 1 2 1 X+1 1 0 2X 2 2X 0 1 1 X+2 0 2X X 2X+1 1 2X+2 0 1 2X+1 2X 1 1 2X+1 2X+1 2X+1 2X 2X 0 0 1 0 0 X X 2X 0 0 2X 2X 2X+1 1 1 2X+2 2 X+1 X+1 1 X+2 X+2 X+1 2 2 X+2 0 2X+2 2X+2 0 2X+2 X+1 1 1 X 0 X+1 X+1 2X+2 1 2X+2 2X X+1 2X 1 2X+2 1 0 X+2 X X+2 1 X+1 2 X+1 2 1 X+2 X 1 2X+1 1 X+1 X X 2X X+1 X+1 X+2 0 1 2X+1 X+2 1 1 X 2X+2 1 2X+2 0 2X+1 1 1 2X+2 1 2 X 1 2X+1 X 1 2X+1 0 0 0 1 1 2X+2 2 1 0 X+2 0 2X+1 X 2X X X+1 0 X+1 2X+1 X+2 X+2 2X+2 X+2 2X+2 1 2X+2 X+2 2X 1 X+1 X X+1 X+1 X+2 2X X+1 2X+2 2X+1 X 2X+1 1 2X+1 2X+1 X+2 X 2X+1 1 0 X X 2X+2 0 X+2 2X+1 0 X+1 X X X+1 2X+1 2 2 2 X+2 X+1 1 2X+2 X+1 1 2X 2X+2 2X X+2 X+2 2X+1 2X 2X+2 1 X+1 2X+2 X 2X+2 2X 1 2X+1 X X+1 0 2X+2 2X+1 X+2 X+2 0 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 0 X 0 X X 2X X X 2X X 0 X 0 0 0 0 X X 2X 0 X 0 0 X 2X X X X 0 2X 0 2X 0 2X 0 X X 2X 0 X X 0 X X X 0 2X 0 0 2X 0 2X 2X 0 X 2X X X 2X 0 X 0 2X 0 X X 2X X generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 170. Homogenous weight enumerator: w(x)=1x^0+318x^170+286x^171+1146x^173+602x^174+1524x^176+932x^177+1890x^179+890x^180+1812x^182+932x^183+1554x^185+784x^186+1650x^188+750x^189+1212x^191+562x^192+906x^194+430x^195+606x^197+174x^198+324x^200+152x^201+138x^203+50x^204+36x^206+14x^207+6x^209+2x^210 The gray image is a linear code over GF(3) with n=276, k=9 and d=170. This code was found by Heurico 1.16 in 11.5 seconds.