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

generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+66x^81+162x^84+6x^85+238x^87+96x^88+198x^90+288x^91+212x^93+690x^94+216x^96+1302x^97+202x^99+1116x^100+214x^102+708x^103+196x^105+168x^106+156x^108+142x^111+96x^114+52x^117+26x^120+10x^123

The gray image is a linear code over GF(3) with n=147, k=8 and d=81.
This code was found by Heurico 1.16 in 0.872 seconds.