The generator matrix

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

generates a code of length 81 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+1056x^150+1776x^151+4506x^152+7636x^153+9786x^154+13140x^155+19774x^156+23280x^157+29064x^158+36916x^159+40278x^160+44502x^161+49802x^162+47718x^163+46764x^164+43874x^165+34866x^166+27654x^167+21518x^168+12240x^169+6972x^170+4744x^171+1878x^172+822x^173+444x^174+174x^175+54x^176+78x^177+12x^178+18x^179+34x^180+36x^181+6x^182+6x^183+12x^186

The gray image is a code over GF(3) with n=729, k=12 and d=450.
This code was found by Heurico 1.16 in 696 seconds.