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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+152x^114+102x^115+72x^116+288x^117+114x^118+432x^119+228x^120+90x^121+3780x^122+174x^123+48x^124+576x^125+134x^126+42x^127+84x^129+18x^130+68x^132+66x^133+72x^135+6x^136+8x^138+2x^141+2x^147+2x^174

The gray image is a code over GF(3) with n=549, k=8 and d=342.
This code was found by Heurico 1.16 in 0.338 seconds.