The generator matrix

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

generates a code of length 61 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+762x^111+1506x^112+5136x^113+8168x^114+10056x^115+17742x^116+21872x^117+25710x^118+38988x^119+44736x^120+46890x^121+61056x^122+58528x^123+49896x^124+51558x^125+36940x^126+21468x^127+15696x^128+8240x^129+3204x^130+2208x^131+690x^132+108x^133+54x^134+74x^135+72x^136+18x^137+46x^138+6x^139+6x^141+6x^142

The gray image is a code over GF(3) with n=549, k=12 and d=333.
This code was found by Heurico 1.16 in 502 seconds.