The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1 3a+6  3  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+5 8a a+5  0 a+5 8a 8a+5 8a+4  1  a 7a+7 3a+7 3a+5 a+5 8a+5 7a+7 8a+4  1  a 3a+7 2a+5 3a+7 8a+7  0 8a a+7 a+3 3a+5 a+8  1 4a+3 6a+7 8a+7 2a+5 8a+3 a+7 6a+5 a+8  3 4a+5  1 5a+1 4a+1  7 8a+3 a+4 2a+3  1  1 a+2 8a+8 5a 6a+8 2a+2 4a+5 2a+8 a+3 6a+7  3 2a+5 3a+1 8a+4  0
 0  0 3a+6  0 3a+6  3 6a+6 6a+6  6 3a 3a+6 3a  3 3a  3  3 6a+6  6 3a+6 3a+3 6a+6  6  0 3a  6  6  3 3a 6a 6a+3 6a+3 6a+6 6a 3a+6 3a+6  6  3 3a+3  0 6a 6a+6  3  0  3 6a+3  3  0 3a+3 3a+3 6a 6a+6 3a+3 3a+6 6a  6 6a+3 6a+6 3a+3  6 6a 6a 3a+6  0  0  3 6a 6a+3 6a 6a+6  0
 0  0  0  3 3a+6 3a+6  3 3a  3 3a+3 6a 6a+6 6a 6a+3  0 6a+6 3a+3 3a+6 3a 3a+3 6a 3a 6a+6  6  0 3a+3 3a  0 6a+6 3a+6 6a 6a+6  3 6a+6  3 6a  3 6a+6 6a+3 6a+3  6 3a 3a+3 3a+3 3a 6a+3 6a+3  0  3  6 3a+6 3a+6 6a+3 3a  3 6a 3a+6  6  0  6 3a+3  6 6a  0 3a+6  6 3a+3  3 6a+6  0

generates a code of length 70 over GR(81,9) who´s minimum homogenous weight is 522.

Homogenous weight enumerator: w(x)=1x^0+104x^522+432x^530+1328x^531+360x^532+504x^533+720x^538+3384x^539+9336x^540+6192x^541+3672x^542+4320x^547+11880x^548+27648x^549+15552x^550+9288x^551+18360x^556+34344x^557+84064x^558+42192x^559+20880x^560+29088x^565+54936x^566+92144x^567+40680x^568+18144x^569+544x^576+472x^585+376x^594+304x^603+128x^612+56x^621+8x^630

The gray image is a code over GF(9) with n=630, k=6 and d=522.
This code was found by Heurico 1.16 in 42.1 seconds.