The generator matrix

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

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+508x^114+432x^115+54x^116+1390x^117+1206x^118+324x^119+2756x^120+2196x^121+648x^122+3694x^123+2430x^124+432x^125+2062x^126+1008x^127+330x^129+18x^130+122x^132+42x^135+8x^138+10x^141+6x^144+4x^150+2x^156

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 20.1 seconds.