The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1 2X  1  1 X+3  1  1  0  1  1  1  1  1 2X  1  1 2X+6  1  1  1 X+6  1  1  1  1  0  1  1  1  6  1  1  1  0  1  1  1  6  1  1  1  1  1  1 2X X+3  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X+6  1  1  6 2X+6  1  1  1  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X  4 2X+8  1 2X+4 X+3  1  8  0  1 2X X+1 X+2  4 2X+8  1  6 2X+7  1  5 X+7 X+6  1 X+2 2X+5 2X  4  1  7 X+5 2X+6  1  4 2X+6 X+5  1  7 2X X+2  1  0 X+3 2X+4 X+1  8 2X+8  1  1 X+1 2X+4  7 2X+7 X+7 2X+7 2X+7 X+5  8  5 2X+8  5 2X+5  2 X+4 X+8  1  6  X  1  1 X+7 2X+6  5  0
 0  0  3  0  3  6  6  0  0  6  3  3  0  6  3  3  6  6  3  0  6  3  0  6  3  6  0  6  3  0  6  0  6  0  0  6  3  3  6  0  0  6  3  3  6  3  0  3  0  3  3  6  0  0  0  3  3  0  6  6  0  0  3  6  6  3  3  3  6  0  6  3  0  6  0  3  0  3  0  6  6
 0  0  0  6  6  3  6  6  6  0  3  0  0  6  6  6  0  6  0  3  3  3  3  0  0  0  0  6  3  6  6  3  3  0  3  0  0  6  6  6  0  0  3  6  3  6  6  0  6  0  3  0  3  6  6  0  0  3  6  3  0  6  6  0  3  0  6  3  6  0  6  0  3  3  3  3  3  6  3  0  0

generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+186x^156+270x^157+1068x^158+586x^159+540x^160+948x^161+312x^162+162x^163+630x^164+288x^165+378x^166+696x^167+306x^168+108x^169+60x^170+12x^171+4x^174+2x^189+2x^192+2x^195

The gray image is a code over GF(3) with n=729, k=8 and d=468.
This code was found by Heurico 1.16 in 0.363 seconds.