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

generates a code of length 87 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+192x^166+306x^168+282x^169+46x^171+726x^172+2994x^174+1386x^175+160x^177+78x^178+16x^180+60x^181+12x^183+78x^184+108x^186+108x^187+6x^190+2x^258

The gray image is a code over GF(3) with n=783, k=8 and d=498.
This code was found by Heurico 1.16 in 4.32 seconds.