The generator matrix

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

generates a code of length 45 over Z3[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+42x^81+198x^83+146x^84+288x^86+128x^87+306x^89+154x^90+288x^92+98x^93+252x^95+86x^96+126x^98+38x^99+22x^102+2x^105+4x^108+2x^111+4x^117+2x^120

The gray image is a linear code over GF(3) with n=135, k=7 and d=81.
This code was found by Heurico 1.16 in 0.0607 seconds.