The generator matrix

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

generates a code of length 79 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+1056x^152+1638x^153+1446x^154+2196x^155+2296x^156+1128x^157+1830x^158+1678x^159+942x^160+1446x^161+1056x^162+624x^163+900x^164+560x^165+222x^166+342x^167+284x^168+12x^169+14x^171+6x^174+6x^176

The gray image is a code over GF(3) with n=711, k=9 and d=456.
This code was found by Heurico 1.16 in 1.97 seconds.