The generator matrix

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

generates a code of length 68 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+180x^130+306x^131+1000x^132+324x^133+612x^134+812x^135+432x^136+540x^137+684x^138+396x^139+396x^140+614x^141+114x^142+90x^143+40x^144+2x^150+12x^151+4x^159+2x^171

The gray image is a code over GF(3) with n=612, k=8 and d=390.
This code was found by Heurico 1.16 in 0.292 seconds.