The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  a 7a+7 8a+4 3a+5 8a 8a+5 a+5 8a+4 3a+5 8a+4 8a  a 3a+5
 0  0 3a+6  0 3a+6  3 6a+3  3 3a  3 3a 6a+3 6a+6 6a+3 6a+6  0
 0  0  0  3 3a+6 3a+6 3a  6  6 6a 3a+6 6a+3 6a+3 3a+3 3a  6

generates a code of length 16 over GR(81,9) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+144x^104+800x^108+1296x^112+3456x^113+1280x^117+34992x^120+20736x^121+27648x^122+960x^126+279936x^129+82944x^130+73728x^131+2688x^135+832x^144

The gray image is a code over GF(9) with n=144, k=6 and d=104.
This code was found by Heurico 1.16 in 28.4 seconds.