The generator matrix

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

generates a code of length 54 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+540x^98+654x^99+2328x^100+4116x^101+3614x^102+7452x^103+10830x^104+9170x^105+16578x^106+22122x^107+15648x^108+20862x^109+23850x^110+11816x^111+12624x^112+8250x^113+2776x^114+2088x^115+1068x^116+218x^117+204x^118+132x^119+62x^120+48x^121+36x^122+18x^123+18x^124+12x^125+6x^126+6x^127

The gray image is a code over GF(3) with n=486, k=11 and d=294.
This code was found by Heurico 1.16 in 50.4 seconds.