The generator matrix

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

generates a code of length 12 over GR(81,9) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+280x^72+1296x^80+2728x^81+29160x^88+20736x^89+14856x^90+104976x^96+233280x^97+82944x^98+39704x^99+1480x^108

The gray image is a code over GF(9) with n=108, k=6 and d=72.
This code was found by Heurico 1.16 in 3.99 seconds.