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

generates a code of length 62 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+416x^114+54x^116+948x^117+108x^118+432x^119+1518x^120+648x^121+2268x^122+2456x^123+1296x^124+3672x^125+2328x^126+864x^127+864x^128+716x^129+592x^132+276x^135+158x^138+62x^141+2x^147+2x^150+2x^162

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 1.96 seconds.