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

generates a code of length 90 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 173.

Homogenous weight enumerator: w(x)=1x^0+402x^173+236x^174+108x^175+426x^176+398x^177+432x^178+918x^179+1026x^180+756x^181+708x^182+366x^183+162x^184+198x^185+38x^186+84x^188+62x^189+102x^191+42x^192+42x^194+14x^195+24x^197+12x^200+2x^210+2x^246

The gray image is a code over GF(3) with n=810, k=8 and d=519.
This code was found by Heurico 1.16 in 48.2 seconds.