The generator matrix

 1  0  0  1  1  1  1  1  1  1 2X+6  1  X  1  1  1  1 2X X+6  1  1 X+6  1  X  1  1  1  1  1  1  1  1  1 2X+6  1  1  X  1 2X+6  1  1  X  1  0  1  X  1 X+3  1  1  1  1  3  1  1  1  1 X+3  1  1  1  1
 0  1  0  0  3 2X+7 2X+7 X+8  1 X+5  1  5  1  3  0  5 X+5  1 2X+6 X+4  X  1 2X+1  1 X+2 X+7  1  4 2X+2 X+6 2X+8  X 2X+3  1  5 2X+8 2X+6 2X+1  1  0 X+6  1 2X+7  1  1  1  1  1 2X+3 2X+6  4 2X+6  1  8 X+4 X+3 2X+7  1 X+2 X+4 2X+7  2
 0  0  1  1  5  5 2X+6  1  4 2X+6 2X+7 X+5 X+8  0 2X+8  7 X+2 X+7  1 X+3 2X+1  3 2X+1 X+2 X+6 2X+5  8 2X 2X+2  3  6 X+1 X+8 X+5 X+1 X+7  1 2X+6  0  2 2X+6 X+8  5 2X+1 X+1 2X+5  1  X X+3 2X+2 2X+7  8 2X+6 2X+5  X  1 2X+8  1 2X+6 2X+3 2X+4 X+1
 0  0  0 2X  6  3  0  3  0  6  0  6  3  X  3 2X+6 X+3 2X 2X+3 2X+6  X X+3 2X+3 2X+3 X+6  X 2X+3 X+6 X+6 2X+3 2X  6 X+3 X+6 X+3 2X+3 X+3  X  X 2X+3 X+3 X+6 X+3 2X+6 X+6 2X  X  6  0 2X  3  X 2X+3  0 X+6 X+6  X X+6 2X+6  3  3  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+618x^114+1230x^115+2484x^116+4534x^117+5214x^118+7770x^119+10672x^120+10458x^121+14988x^122+18254x^123+17034x^124+19554x^125+20724x^126+13410x^127+12234x^128+8196x^129+4398x^130+2466x^131+1564x^132+660x^133+246x^134+178x^135+54x^136+30x^137+104x^138+12x^139+6x^140+30x^141+12x^142+6x^144+6x^145

The gray image is a code over GF(3) with n=558, k=11 and d=342.
This code was found by Heurico 1.16 in 63.8 seconds.