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 X 1 1 1 1 1 1 X 1 1 0 X 1 1 X 1 0 X 1 1 1 X 1 1 0 1 1 0 X 1 1 X 0 1 X 1 1 0 X 2X 0 X+3 2X 6 X+3 2X+6 0 X+3 2X 3 X+6 2X+3 2X X+3 0 3 2X X 2X+3 2X+6 3 X+3 X 0 X 3 X 2X 3 2X 6 X 2X 6 3 X 2X+6 X+6 2X+3 X+6 3 2X+6 X+6 2X+6 6 0 0 X+6 3 X X+3 2X+3 3 2X+6 X+6 X+6 6 X+3 X 2X X 2X+6 3 2X+6 2X X X+6 X X+3 X+3 6 2X 2X X X+3 2X X+3 6 2X 3 6 X X+3 X+6 X X+3 X 6 2X X 2X 2X X+3 2X 0 0 6 0 0 0 0 0 3 0 3 3 0 6 0 6 6 0 0 6 0 3 0 0 3 6 6 3 6 0 6 3 3 3 6 3 6 6 0 6 0 6 0 0 6 6 6 3 3 6 0 6 0 3 6 6 0 3 3 0 0 3 3 6 6 6 3 3 0 0 0 6 3 6 0 3 0 6 3 3 6 3 6 0 0 3 3 3 6 3 3 0 0 3 3 6 6 0 0 0 6 0 0 3 0 0 6 3 3 6 6 6 0 3 3 6 6 6 3 0 6 6 3 3 0 3 0 3 6 3 3 6 3 3 0 0 6 3 3 6 0 6 6 3 0 3 3 6 3 0 0 0 0 0 3 0 3 6 6 3 0 0 3 6 0 3 6 0 0 6 0 0 0 6 6 3 6 0 3 0 0 6 0 3 0 6 3 6 0 3 6 0 0 6 0 0 0 0 3 0 0 6 0 3 3 6 6 3 3 6 6 0 6 0 3 0 3 0 6 6 3 3 6 3 3 6 6 3 0 0 6 0 3 6 0 3 0 3 0 6 0 3 3 3 6 0 0 3 3 0 3 3 0 6 0 3 0 0 3 3 0 6 3 6 6 6 0 0 6 3 3 6 3 6 6 6 3 6 0 0 0 6 0 0 6 0 3 0 6 0 3 0 0 0 0 0 6 0 0 3 3 0 3 6 0 6 3 6 6 3 3 6 0 3 3 6 0 0 0 6 6 0 3 6 3 3 3 3 3 3 3 6 3 0 6 6 6 0 6 0 6 6 3 6 3 6 6 6 3 3 0 3 6 6 6 3 3 0 0 3 0 0 0 0 0 0 3 6 0 3 0 3 6 0 6 6 6 3 3 6 0 6 3 6 3 3 0 0 generates a code of length 97 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+130x^180+6x^181+96x^182+330x^183+114x^184+168x^185+486x^186+552x^187+204x^188+988x^189+1596x^190+192x^191+1720x^192+3210x^193+210x^194+2150x^195+3198x^196+144x^197+1292x^198+1362x^199+162x^200+330x^201+132x^202+162x^203+240x^204+30x^205+78x^206+172x^207+6x^208+36x^209+92x^210+24x^213+6x^215+30x^216+10x^219+10x^222+6x^225+2x^228+2x^231+2x^240+2x^249 The gray image is a code over GF(3) with n=873, k=9 and d=540. This code was found by Heurico 1.16 in 4.19 seconds.