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

generates a code of length 86 over GR(81,9) who´s minimum homogenous weight is 648.

Homogenous weight enumerator: w(x)=1x^0+64x^648+72x^650+680x^657+504x^659+144x^660+432x^661+792x^662+1224x^663+4608x^664+1184x^666+1368x^667+2520x^668+6984x^669+3888x^670+4968x^671+6120x^672+13248x^673+1120x^675+5616x^676+7488x^677+14472x^678+9072x^679+9504x^680+9936x^681+37584x^682+800x^684+19656x^685+15912x^686+42840x^687+20952x^688+21240x^689+21024x^690+76608x^691+616x^693+25848x^694+25992x^695+40536x^696+18144x^697+15984x^698+14184x^699+25416x^700+680x^702+368x^711+344x^720+264x^729+200x^738+136x^747+88x^756+16x^765

The gray image is a code over GF(9) with n=774, k=6 and d=648.
This code was found by Heurico 1.16 in 51.5 seconds.