The generator matrix

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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+270x^116+318x^117+288x^118+912x^119+884x^120+216x^121+702x^122+874x^123+324x^124+666x^125+570x^126+144x^127+324x^128+12x^129+36x^131+6x^132+6x^137+4x^138+2x^144+2x^159

The gray image is a code over GF(3) with n=549, k=8 and d=348.
This code was found by Heurico 1.16 in 0.534 seconds.