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

generates a code of length 78 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+258x^148+80x^150+420x^151+162x^152+160x^153+126x^154+648x^155+3132x^156+156x^157+648x^158+236x^159+180x^160+24x^162+102x^163+60x^166+8x^168+102x^169+2x^171+42x^172+12x^175+2x^225

The gray image is a code over GF(3) with n=702, k=8 and d=444.
This code was found by Heurico 1.16 in 38.5 seconds.