The generator matrix

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

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+226x^114+486x^117+432x^120+356x^123+278x^126+234x^129+122x^132+30x^135+10x^141+4x^144+6x^150+2x^153

The gray image is a linear code over GF(3) with n=183, k=7 and d=114.
This code was found by Heurico 1.16 in 0.13 seconds.