The generator matrix

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

generates a code of length 82 over GR(81,9) who´s minimum homogenous weight is 621.

Homogenous weight enumerator: w(x)=1x^0+248x^621+1368x^629+2672x^630+2232x^632+288x^633+2736x^635+2232x^636+11592x^638+11120x^639+5832x^641+3024x^642+11232x^644+6912x^645+27000x^647+20224x^648+11880x^650+16416x^651+39312x^653+20304x^654+63216x^656+42768x^657+19800x^659+32760x^660+51696x^662+23040x^663+54288x^665+32792x^666+12744x^668+440x^675+456x^684+280x^693+304x^702+160x^711+64x^720+8x^729

The gray image is a code over GF(9) with n=738, k=6 and d=621.
This code was found by Heurico 1.16 in 48.6 seconds.