The generator matrix

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

generates a code of length 84 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+1008x^156+2442x^157+4644x^158+8038x^159+10992x^160+13170x^161+20050x^162+23160x^163+27546x^164+38588x^165+37674x^166+43422x^167+51352x^168+46566x^169+43776x^170+45472x^171+35592x^172+26592x^173+21224x^174+13350x^175+7470x^176+5266x^177+2070x^178+948x^179+562x^180+144x^181+78x^182+104x^183+12x^184+12x^185+36x^186+42x^187+12x^188+20x^189+6x^192

The gray image is a code over GF(3) with n=756, k=12 and d=468.
This code was found by Heurico 1.16 in 611 seconds.