The generator matrix

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

generates a code of length 68 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+1136x^126+1692x^127+2412x^128+4824x^129+5562x^130+7434x^131+10644x^132+12384x^133+13608x^134+16454x^135+18270x^136+17676x^137+17346x^138+15768x^139+11466x^140+8724x^141+5490x^142+2646x^143+2154x^144+612x^145+162x^146+396x^147+192x^150+64x^153+24x^156+6x^159

The gray image is a code over GF(3) with n=612, k=11 and d=378.
This code was found by Heurico 1.16 in 82.2 seconds.