The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  0  X  X  X  X  1  1  1  1  1  X  X  X  1
 0  X 2X  0 X+3 2X  6 X+3 2X+6  6 X+6 2X+6  6 X+6 2X  0  X 2X+6  3  3 X+3 X+6 2X+3 2X+3  3  X 2X+3  0 X+3 2X  0 X+3 2X  6 X+6 2X+6  6 X+6 2X+6  6  0  3 X+3 2X  X X+3 2X X+6 X+6  3 X+3 2X+3  X 2X+3  3 2X+6 2X+6  0
 0  0  6  6  3  3  3  6  0  6  0  6  0  6  0  3  3  3  0  6  0  3  6  3  3  6  0  0  3  0  3  6  6  6  0  3  3  6  6  0  6  6  3  3  6  0  6  6  3  0  0  0  6  6  6  3  6  6

generates a code of length 58 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+362x^114+254x^117+90x^120+14x^123+4x^126+2x^132+2x^144

The gray image is a code over GF(3) with n=522, k=6 and d=342.
This code was found by Heurico 1.16 in 1.11 seconds.