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

generates a code of length 79 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+174x^150+448x^153+2268x^156+3114x^159+158x^162+96x^165+114x^168+120x^171+66x^174+2x^234

The gray image is a code over GF(3) with n=711, k=8 and d=450.
This code was found by Heurico 1.16 in 0.569 seconds.