The generator matrix

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

generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+88x^87+132x^90+54x^92+114x^93+324x^95+82x^96+648x^98+52x^99+432x^101+50x^102+60x^105+48x^108+42x^111+32x^114+10x^117+8x^120+8x^123+2x^138

The gray image is a linear code over GF(3) with n=147, k=7 and d=87.
This code was found by Heurico 1.16 in 0.158 seconds.