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

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+168x^115+222x^116+82x^117+246x^118+282x^119+48x^120+198x^121+144x^122+44x^123+114x^124+132x^125+26x^126+84x^127+72x^128+16x^129+78x^130+66x^131+10x^132+42x^133+24x^134+6x^135+30x^136+24x^137+6x^138+12x^139+6x^140+2x^144+2x^147

The gray image is a linear code over GF(3) with n=183, k=7 and d=115.
This code was found by Heurico 1.16 in 6.62 seconds.