The generator matrix

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

generates a code of length 61 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+186x^114+252x^115+576x^116+1400x^117+906x^118+1410x^119+2522x^120+1284x^121+1776x^122+3268x^123+1206x^124+1614x^125+1692x^126+630x^127+426x^128+272x^129+18x^130+24x^131+68x^132+54x^133+6x^134+34x^135+12x^136+20x^138+12x^139+12x^141+2x^144

The gray image is a code over GF(3) with n=549, k=9 and d=342.
This code was found by Heurico 1.16 in 1.11 seconds.