The generator matrix

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

generates a code of length 68 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+130x^123+18x^124+18x^125+676x^126+342x^127+252x^128+2016x^129+1458x^130+1008x^131+5308x^132+3474x^133+2322x^134+9418x^135+6174x^136+3150x^137+9482x^138+4698x^139+1746x^140+4682x^141+1206x^142+252x^143+710x^144+126x^145+246x^147+64x^150+16x^153+18x^156+12x^159+6x^162+10x^165+8x^168+2x^177

The gray image is a code over GF(3) with n=612, k=10 and d=369.
This code was found by Heurico 1.16 in 10.6 seconds.