The generator matrix

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

generates a code of length 57 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+272x^111+582x^112+578x^114+348x^115+120x^117+204x^118+76x^120+2x^123+2x^135+2x^141

The gray image is a code over GF(3) with n=513, k=7 and d=333.
This code was found by Heurico 1.16 in 4.95 seconds.