The generator matrix

 1  0  0  1  1  1  1  1  1 2X  0  1  X  1  1  1  1  1  1  X  1  1  X  1  1  1  X  1  X  1  1  X  1  0  1  1  X  1  0  1  1  0  1  1  1  1  1  X  1 2X  1  X  1  1  1  1  1  1  1  1  1
 0  1  0  0  X 2X+1  1  2 2X+1  1  1  2 2X 2X+1  1  1 X+2 2X+2  X  1  X 2X+2  1  1  0 X+2  1  1  0  0 2X+1  1  2  1 2X+2  2 2X  X 2X 2X  1  1 X+2  X X+1 2X+1  0  1  X  1  1  1 2X  0 X+2 X+2 2X+2 2X+2 X+2  0 X+1
 0  0  1  1 2X+2 X+2 X+1  0 2X 2X+1 2X+2  X  1  2  1 2X 2X+1  2  X  0 X+2 X+1 X+2  1 X+1 2X+2 2X+1 X+2  1 2X+1  1 X+2  2  X  X 2X  1  1  1  0  2  X X+2  1 X+2  1  0 2X+2 2X  X X+2 X+1 2X  X 2X X+1 2X 2X+1  2  1 2X+2
 0  0  0 2X 2X 2X 2X 2X  X 2X 2X  X 2X  0  X  0  X 2X 2X 2X  0 2X  0  0  0  X  0  X  X 2X  0 2X  X  0  0  X  X  X 2X  0  0  X  0  0  X  X  X  X 2X  0 2X  0 2X  0 2X  0  X 2X  X  X  0

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+270x^115+254x^117+336x^118+178x^120+288x^121+64x^123+192x^124+104x^126+138x^127+66x^129+114x^130+24x^132+60x^133+28x^135+48x^136+6x^138+12x^139+2x^147+2x^150

The gray image is a linear code over GF(3) with n=183, k=7 and d=115.
This code was found by Heurico 1.13 in 6.44 seconds.