The generator matrix

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

generates a code of length 82 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+540x^153+1212x^154+2352x^155+4002x^156+5052x^157+6126x^158+7730x^159+9906x^160+13158x^161+12666x^162+15804x^163+15192x^164+16088x^165+15570x^166+15210x^167+11330x^168+9246x^169+6294x^170+4414x^171+2604x^172+1248x^173+512x^174+294x^175+114x^176+158x^177+36x^178+42x^179+94x^180+36x^181+36x^182+44x^183+18x^184+6x^185+6x^186+6x^189

The gray image is a code over GF(3) with n=738, k=11 and d=459.
This code was found by Heurico 1.16 in 86.8 seconds.