The generator matrix

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

generates a code of length 81 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+1368x^156+1542x^157+1140x^158+2414x^159+2118x^160+912x^161+2362x^162+1380x^163+708x^164+1626x^165+1134x^166+396x^167+1086x^168+642x^169+216x^170+442x^171+144x^172+24x^173+6x^174+6x^176+8x^177+6x^178+2x^186

The gray image is a code over GF(3) with n=729, k=9 and d=468.
This code was found by Heurico 1.16 in 52.8 seconds.