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

generates a code of length 81 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+138x^151+330x^152+44x^153+480x^154+396x^155+190x^156+522x^157+1200x^158+1274x^159+924x^160+2970x^161+3434x^162+1326x^163+2976x^164+1528x^165+288x^166+306x^167+50x^168+264x^169+240x^170+14x^171+174x^172+138x^173+8x^174+174x^175+114x^176+6x^177+42x^178+78x^179+6x^180+36x^181+2x^183+6x^184+2x^186+2x^225

The gray image is a code over GF(3) with n=729, k=9 and d=453.
This code was found by Heurico 1.16 in 2.78 seconds.