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

generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+64x^114+166x^117+228x^120+374x^123+598x^126+426x^129+172x^132+34x^135+32x^138+26x^141+28x^144+14x^147+10x^150+6x^153+2x^156+2x^159+2x^162+2x^171

The gray image is a linear code over GF(3) with n=189, k=7 and d=114.
This code was found by Heurico 1.16 in 0.162 seconds.