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

generates a code of length 69 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+24x^125+238x^126+24x^127+150x^128+436x^129+138x^130+144x^131+1090x^132+234x^133+204x^134+3618x^135+294x^136+246x^137+5700x^138+282x^139+204x^140+4288x^141+252x^142+246x^143+896x^144+168x^145+144x^146+278x^147+66x^148+84x^149+108x^150+12x^152+58x^153+10x^156+10x^159+16x^162+2x^165+10x^168+6x^171+2x^177

The gray image is a code over GF(3) with n=621, k=9 and d=375.
This code was found by Heurico 1.16 in 40.2 seconds.