The generator matrix

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

generates a code of length 77 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+696x^144+360x^145+648x^146+2450x^147+1620x^148+2124x^149+4276x^150+3762x^151+4500x^152+5560x^153+5400x^154+6120x^155+5842x^156+4752x^157+3384x^158+3480x^159+1476x^160+684x^161+1056x^162+126x^163+36x^164+340x^165+196x^168+124x^171+26x^174+6x^180+4x^186

The gray image is a code over GF(3) with n=693, k=10 and d=432.
This code was found by Heurico 1.16 in 43 seconds.