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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1  1  1  1  1  1  X
 0  X  0  0 2X X+6  X 2X+6 2X  0  3  6 X+6 X+6 2X+6 2X+6  X 2X X+3  3 2X+6  X 2X  3 X+6  0 2X  3  6 2X  3 X+6 2X 2X+3  6 2X  X 2X+6  6 2X+3 X+3  X X+6  6  0  6  X  X 2X 2X+6  3  0 2X+6 2X X+6 X+6 2X+6  0 2X X+3  X 2X+6  X 2X+6  X X+3 2X+6 X+3 2X+3  3 X+3  0 2X+3 2X+6  6  X  0  3 X+6  X 2X  6 X+6 X+3  0  0 2X+3 2X X+6 2X
 0  0  X 2X  0 2X+3  X X+6 2X+3  3 2X X+6 2X  3  0 X+6 X+3 2X+3  X X+6  X 2X+3  0 2X  3  3 2X  6  3 2X+6  X  0  0 X+3 2X  6 2X+6 2X+3  X X+6  3 2X+3 X+3 X+6 2X+6  6 X+6 2X+3 2X+3  X X+3 2X+3  6  0 X+3  6 X+3  6 2X  6  X  3 2X+6 X+6  X  0 2X  0 X+6  6  X  3 X+3 2X+6  X  X 2X+3  0  0 2X  3 2X 2X 2X 2X+6  X 2X+6  X X+6 2X
 0  0  0  3  0  0  0  0  0  0  0  6  6  3  6  3  3  3  6  3  6  3  3  6  6  6  3  3  0  0  3  6  6  0  3  3  3  0  0  3  3  6  0  6  6  3  3  3  6  0  6  0  0  6  6  0  3  6  3  0  0  3  0  6  6  3  6  6  6  6  3  6  0  0  3  6  6  3  0  0  3  3  0  6  6  0  3  6  3  3
 0  0  0  0  3  6  3  6  0  6  3  3  0  6  6  3  0  6  6  6  0  3  0  6  3  3  3  0  3  3  0  6  3  3  6  3  0  6  3  6  3  3  6  6  3  6  3  6  0  0  0  0  0  0  0  3  0  6  0  6  0  6  3  3  3  0  6  3  6  0  6  6  6  6  3  0  0  3  0  0  0  3  3  0  6  6  3  6  6  3

generates a code of length 90 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 169.

Homogenous weight enumerator: w(x)=1x^0+276x^169+354x^170+24x^171+360x^172+390x^173+46x^174+510x^175+1026x^176+204x^177+1878x^178+2412x^179+4572x^180+3258x^181+2268x^182+194x^183+288x^184+282x^185+28x^186+264x^187+162x^188+14x^189+204x^190+150x^191+12x^192+114x^193+132x^194+2x^195+66x^196+78x^197+4x^198+66x^199+36x^200+6x^202+2x^261

The gray image is a code over GF(3) with n=810, k=9 and d=507.
This code was found by Heurico 1.16 in 56.4 seconds.