The generator matrix

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

generates a code of length 58 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+522x^110+1290x^111+1404x^112+2370x^113+2544x^114+1122x^115+1788x^116+2348x^117+1212x^118+1566x^119+1218x^120+708x^121+822x^122+600x^123+78x^124+42x^125+10x^126+6x^127+12x^128+6x^130+6x^131+6x^132+2x^135

The gray image is a code over GF(3) with n=522, k=9 and d=330.
This code was found by Heurico 1.16 in 0.744 seconds.