The generator matrix

 1  0  0  1  1  1  1  1  1  1 2X+6  1  X  1  1  1 2X  6  1 X+6  1  1  1 2X  1  1  3  1  1  1  X  1 X+3  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  3  1  1  1  1  1  1  1  1 2X+3  1
 0  1  0  0  3 2X+7 2X+7 X+8  1 X+5  1  5  1  3 X+1 X+1 X+6  1 2X  1 2X+8  8 2X+3  1  4 2X+8  1 X+6 2X+4  4  X  0  1  2  1 X+2  2 X+3  2 2X+3  6 X+8 X+6  7 2X+4 X+8 X+1  0  1 2X+1 X+3 X+2  7  3 2X+4  2  8 X+3  4  1 X+4
 0  0  1  1  5  5 2X+6  1  4 2X+6 2X+7 X+5 X+8  0  4 X+3  1  X X+4 2X+1 X+4  5 X+2  5  2  3  1 2X+6  0  1  1 X+4 X+5 X+1 2X+2 X+5  6 2X+3  7 X+5 2X+2  2  0 X+6 2X+7 X+6 X+3 2X+7  7 2X+8  1 2X+2 2X+1 X+1  6 2X+1 2X+8  5 X+1  4  5
 0  0  0 2X  6  3  0  3  0  6  0  6  3  X 2X+3 X+3 X+6 X+3  0 2X+3 2X+6 X+3 2X 2X X+6 2X X+6 2X+3 2X+3  X 2X+3 X+6  X  X 2X+6 X+6 2X  X X+6  X  3 2X+6  X  0 2X+6 X+3 2X X+3  0 2X+6 2X X+3  3 2X+3 X+6 2X  6 2X+6 2X+6 X+3 2X

generates a code of length 61 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+678x^112+1242x^113+2012x^114+4038x^115+6810x^116+5896x^117+11172x^118+13362x^119+11644x^120+18372x^121+20082x^122+15874x^123+20784x^124+17472x^125+9360x^126+8388x^127+5400x^128+1892x^129+1476x^130+630x^131+160x^132+120x^133+90x^134+46x^135+60x^136+30x^137+12x^138+30x^139+6x^140+2x^141+6x^142

The gray image is a code over GF(3) with n=549, k=11 and d=336.
This code was found by Heurico 1.16 in 156 seconds.