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

generates a code of length 88 over GR(81,9) who´s minimum homogenous weight is 666.

Homogenous weight enumerator: w(x)=1x^0+168x^666+216x^669+864x^675+576x^676+936x^677+2448x^678+3960x^679+1160x^684+5328x^685+7488x^686+13320x^687+17136x^688+1008x^693+16848x^694+18576x^695+30672x^696+31752x^697+776x^702+41328x^703+41616x^704+62784x^705+61704x^706+680x^711+40896x^712+36360x^713+48024x^714+42912x^715+440x^720+456x^729+392x^738+336x^747+128x^756+64x^765+64x^774+16x^783+8x^792

The gray image is a code over GF(9) with n=792, k=6 and d=666.
This code was found by Heurico 1.16 in 54.9 seconds.