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 0 1 1 X 0 1 1 1 1 1 1 1 1 X 2X^2 2X^2 1 1 1 1 1 2X^2 X 1 1 1 0 X 0 0 0 2X 2X^2+X 2X^2+2X X 2X^2+2X 2X^2 X 2X 2X^2+X 2X^2+2X 2X^2+X 0 X^2 X^2+X 2X^2+X 0 X 2X 2X 2X^2 X^2+2X 2X^2+2X 2X^2 2X^2 X 2X 2X^2+X 0 2X^2+X 2X^2+2X 2X X X 2X^2 2X^2 0 X^2+2X X^2+2X 2X^2+X 2X 2X^2 0 X 2X^2 2X^2+X 2X X^2+2X 2X^2 X^2+2X X^2+2X X^2+2X 0 2X^2+X X X^2 X^2+2X 2X^2+X X 2X^2+X 2X 2X^2 X^2 0 2X^2 2X 2X^2+X X^2+2X 0 X 2X^2 2X^2 X X 2X^2+2X X^2+2X X^2+X X^2+2X 0 2X^2 2X^2+X 2X^2+X X^2+X 0 0 0 X 0 X^2 2X^2 X^2 2X^2 0 0 2X X X^2+2X X^2+2X 2X^2+X X^2+2X 2X^2+X 2X^2+X 2X X X^2+2X 2X^2+X 2X^2+X 2X^2+2X 2X^2+2X 2X^2+2X X 2X^2 2X^2+X X^2+X X^2+2X 2X^2+X 2X X^2 X^2 X X X^2 0 2X X X^2+2X X^2 2X^2+2X X^2 2X 2X^2+2X 2X X^2 0 X^2+2X X 2X^2 2X X^2 X^2+X 2X^2+X 2X^2+X X^2 2X^2 X 2X 2X 2X X^2 X^2 X X X^2+2X X^2+X 2X^2+X X^2+2X X^2 0 2X^2+X 2X X^2+X X 2X X^2+X 2X^2 X 0 X 2X^2 X^2+X X^2 2X 0 0 0 X 2X^2+2X 0 2X X^2+X X 2X X^2 2X^2 0 2X^2 X^2 X X^2+X 2X 2X^2+2X 2X^2+2X X^2+X X^2+X 2X X^2+2X 2X^2+2X X^2+X 2X^2+X X^2+2X 2X^2+X 0 2X X^2+2X X X 2X X^2+2X X^2+X X^2 X X 2X^2+2X 0 2X 0 X^2 2X 2X^2 X 2X^2+2X 2X X^2 X^2 2X^2+X X^2+X X^2 X^2+2X 0 X^2 2X^2 X^2 2X^2+X 2X 2X^2 0 X^2+2X 2X^2+2X X^2+2X X^2+2X 2X 0 X^2+X 2X 2X^2 2X^2+2X X^2+X X^2+2X X^2 X^2+2X 0 X^2 X^2+X X^2+X X^2+X 2X 0 X^2 2X^2 X^2 generates a code of length 88 over Z3[X]/(X^3) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+76x^165+264x^166+228x^167+348x^168+540x^169+378x^170+840x^171+1434x^172+510x^173+1580x^174+2436x^175+2316x^176+2404x^177+3090x^178+576x^179+864x^180+444x^181+60x^182+120x^183+198x^184+120x^185+102x^186+162x^187+108x^188+132x^189+120x^190+24x^191+72x^192+36x^193+36x^194+6x^195+6x^196+18x^197+8x^198+18x^199+6x^201+2x^240 The gray image is a linear code over GF(3) with n=792, k=9 and d=495. This code was found by Heurico 1.16 in 2.99 seconds.