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

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+136x^114+276x^115+216x^116+392x^117+792x^118+300x^119+988x^120+1506x^121+1242x^122+2092x^123+3648x^124+2046x^125+2218x^126+1830x^127+294x^128+330x^129+276x^130+150x^131+204x^132+216x^133+78x^134+116x^135+150x^136+36x^137+66x^138+36x^139+12x^140+16x^141+18x^142+2x^165

The gray image is a code over GF(3) with n=558, k=9 and d=342.
This code was found by Heurico 1.16 in 2.15 seconds.