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

generates a code of length 83 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+634x^156+72x^158+1078x^159+108x^160+468x^161+1362x^162+648x^163+1242x^164+3310x^165+2754x^166+1656x^167+2642x^168+864x^169+936x^170+658x^171+490x^174+350x^177+258x^180+102x^183+34x^186+14x^189+2x^225

The gray image is a code over GF(3) with n=747, k=9 and d=468.
This code was found by Heurico 1.16 in 18.8 seconds.