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 X 1 1 X 1 1 0 1 X 1 1 1 1 1 1 1 1 1 1 X 1 0 1 1 1 1 X 1 X 1 1 1 1 1 0 X X 1 1 X 0 X 2X 0 X+3 2X 6 X+3 2X+6 0 X+3 2X 2X+3 X+6 3 X+3 0 2X X+6 3 2X+3 2X X+3 0 6 X 2X 3 2X+3 X+3 X 0 X+3 3 X+6 6 2X 2X+3 6 2X+3 6 X+3 2X+6 3 2X 6 X 6 3 2X+3 X+3 X X+3 2X 2X+6 6 X 6 X+3 2X+3 X X+6 0 X+6 6 X 2X+3 0 X+3 2X X+3 X 6 X 6 6 X+3 0 2X X+6 2X 3 0 2X+6 X 2X X+3 3 2X+6 X+3 0 0 6 0 0 0 0 0 3 0 3 3 0 6 0 6 0 6 3 0 3 3 3 3 6 3 3 6 3 0 3 3 0 3 0 6 3 0 3 6 6 3 0 6 3 6 3 0 0 6 0 0 3 3 6 6 0 3 0 0 3 6 3 0 0 6 6 6 3 0 6 6 6 6 0 6 3 6 6 3 0 0 3 3 3 0 3 3 0 0 0 0 0 6 0 0 3 0 0 6 3 3 6 6 6 3 3 6 0 6 3 0 0 6 6 6 0 3 6 3 0 3 0 0 0 0 3 0 3 3 3 3 0 3 0 3 3 0 3 6 3 3 6 0 0 3 0 6 0 6 3 0 6 6 6 0 3 6 6 6 0 0 6 3 3 6 0 3 6 6 6 0 0 6 3 6 0 6 0 6 0 0 0 0 3 0 0 6 0 3 3 6 3 0 6 6 3 0 6 0 3 3 3 0 3 6 6 6 6 6 3 6 0 6 6 0 3 0 6 0 3 3 6 6 3 0 3 0 3 3 0 3 3 6 0 6 3 6 6 6 6 0 0 6 3 3 6 0 0 0 6 0 6 6 6 0 3 3 6 0 0 6 0 0 0 3 6 0 0 6 0 0 0 0 0 6 0 0 3 3 0 3 6 0 6 0 6 0 0 3 3 3 0 3 3 0 0 6 0 6 6 3 6 3 6 3 0 3 6 3 0 6 3 3 0 6 3 3 3 3 0 3 6 0 3 0 6 0 0 0 6 0 6 6 6 6 6 0 3 3 6 0 3 3 6 6 0 3 0 0 6 3 6 3 6 6 6 0 0 0 generates a code of length 90 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 166. Homogenous weight enumerator: w(x)=1x^0+78x^166+122x^168+342x^169+18x^170+202x^171+588x^172+180x^173+436x^174+984x^175+720x^176+1332x^177+1938x^178+1440x^179+2302x^180+2316x^181+1440x^182+1706x^183+1470x^184+576x^185+240x^186+444x^187+76x^189+300x^190+50x^192+222x^193+18x^195+30x^196+24x^198+36x^199+16x^201+8x^204+6x^207+2x^210+8x^213+4x^216+2x^219+2x^225+2x^228+2x^234 The gray image is a code over GF(3) with n=810, k=9 and d=498. This code was found by Heurico 1.16 in 16 seconds.