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

generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+102x^126+6x^127+86x^129+66x^130+118x^132+192x^133+92x^135+342x^136+68x^138+474x^139+52x^141+294x^142+54x^144+84x^145+26x^147+30x^150+32x^153+26x^156+12x^159+14x^162+8x^165+2x^168+2x^171+2x^174+2x^186

The gray image is a linear code over GF(3) with n=207, k=7 and d=126.
This code was found by Heurico 1.16 in 0.2 seconds.