The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  X  1  1  0  1  X  1  1  1  1  1  1  X  1  1  0  1  0  1  1  X  1  1
 0  X 2X  0 X+3 2X  0 X+3 2X  6 X+3 2X 2X+6  0 X+3 X+6 2X+6  6 2X  0 X+3 X+6  0 2X 2X+6  X  0 2X+6 X+3  3 X+6 2X+3  6 2X X+6  X  6 X+3 2X+3  3 X+6 2X 2X+3  X  X X+3 X+3 2X+3 2X+6 2X  3  6 2X+6 2X  6 2X+6  X  6  X 2X 2X+6 X+3  0  0
 0  0  6  0  0  0  0  3  6  0  6  3  3  0  0  6  0  0  6  3  3  6  6  3  6  6  6  6  6  3  6  0  6  6  3  0  0  3  0  3  3  0  3  6  0  3  3  0  3  3  6  6  3  0  0  6  0  0  0  3  0  6  6  0
 0  0  0  6  0  0  0  0  0  3  0  6  3  6  6  6  6  3  6  3  6  6  0  3  3  0  6  3  6  3  3  6  3  3  6  6  3  0  3  3  3  6  6  3  3  6  6  6  6  6  0  0  6  6  0  0  3  6  6  3  3  6  6  0
 0  0  0  0  3  0  6  3  6  6  0  6  3  0  3  0  3  0  3  3  0  0  3  6  0  0  3  3  3  3  3  0  6  3  3  6  6  6  3  0  3  3  3  6  3  0  0  6  0  3  0  0  6  6  3  3  0  0  6  3  0  3  6  0
 0  0  0  0  0  6  6  0  3  6  0  0  6  6  3  3  6  6  0  3  0  0  3  6  3  6  6  6  6  6  3  6  6  0  3  0  0  3  6  6  3  3  6  0  3  6  3  0  6  0  3  0  6  0  3  0  0  3  3  3  0  6  3  0

generates a code of length 64 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+44x^114+72x^116+226x^117+24x^118+168x^119+508x^120+102x^121+468x^122+422x^123+732x^124+2142x^125+622x^126+2376x^127+4164x^128+496x^129+2328x^130+2808x^131+524x^132+186x^133+162x^134+388x^135+84x^136+150x^137+234x^138+72x^140+90x^141+36x^144+20x^147+14x^150+12x^153+2x^156+2x^159+2x^162+2x^168

The gray image is a code over GF(3) with n=576, k=9 and d=342.
This code was found by Heurico 1.16 in 2.32 seconds.