The generator matrix

 1  0  0  1  1  1  1  1  1  1  1 2X  6  1  1  1 X+3  6  0  1  1  1  1  1  1 2X  1  1 2X+6  1  1  1 2X  1  1  1  1  1  6 X+3  X 2X+6  1  1  6 2X  1  1  1  1  1  1  1  1  1 X+6 2X+3  1 2X  1  1
 0  1  0  0  6 2X+4  2 X+4 2X+7 2X+2  5  1  1 X+3  1 X+8  1  1  1 X+2 2X+2  1 2X+4 2X+3 2X+6  X X+7 X+4  6 2X+8 2X  4  1 X+5 X+3 2X+2 X+8 X+7  1  1  1  1 2X+8  8 X+6  1  7 X+4  3 X+6 2X+6  1 X+2 2X+3 X+5  1  1 2X+4  1  7 2X+5
 0  0  1 2X+4  2  5 X+2  4  0 2X+7  X X+4  2 2X+6 2X+1 2X+1  6 2X+2 X+1  5 X+3 X+5 2X  7 2X+8  1  2 X+7  1  7 2X 2X 2X+8  3  2 X+1  X 2X+5  1 2X X+4  0  3 2X+6  1 X+8  8  3 X+7  0 X+5  2 X+8 X+8 X+3  X 2X 2X+5  1  6  8
 0  0  0  3  3  3  3  3  3  3  3  0  0  3  0  6  6  6  6  6  6  6  6  6  0  6  0  6  3  0  0  3  3  0  6  0  0  6  3  3  0  6  3  0  6  6  3  0  3  3  0  0  0  6  3  0  6  0  0  0  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+708x^114+990x^115+1782x^116+3584x^117+4752x^118+4086x^119+4656x^120+6282x^121+5562x^122+5164x^123+6246x^124+4536x^125+4068x^126+3024x^127+1476x^128+1246x^129+576x^130+54x^131+188x^132+42x^135+20x^138+6x^141

The gray image is a code over GF(3) with n=549, k=10 and d=342.
This code was found by Heurico 1.16 in 7.18 seconds.