The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3a 1 1 6a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 6a 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 1 3a+5 0 3a+7 8a+5 8a+4 1 a 3a+5 2a+5 3 8a 3a 7a+7 a+8 2a+8 a+5 a+7 8a+7 a+3 6a+5 a+8 1 3a+7 8a+3 2a+7 6a+5 1 6a 4a+7 a+3 8a+7 2a+8 6a+7 a+7 2a 6a+5 1 a+8 7a+7 1 4a+3 7 5 8a+7 7a+8 4a 2a 8a+5 4a+8 3a+4 0 8a+6 a+6 7a+6 3a+2 5a+4 1 5a+1 1 5a+4 8a+2 6a+3 6a+3 8a+1 3a+7 6a+2 a+5 2a+7 7 3a+1 2a 3a+7 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 3a 6a 6 3a 6a+3 6a 3a+3 3a+6 6a 6a 6 3a 0 3a 6a+6 3a+6 3 6a+3 3 6a+6 3a+6 3a 3a+3 3 3 3a 3a+3 3a 6a 6a+6 6 3a+6 0 6a+3 3 6a+3 6 6a+6 6a 3a 6a+3 6a+3 6 6 3 0 6a+3 6a+6 3a+6 0 3 6a 3 3a 6a+6 6a 0 3a+6 0 0 6a 6 0 6 6a+3 6a 6a+6 3a+6 0 3a+3 6 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 6 3a 6a 3 0 3 6 3a 6a+6 6 3a+6 3 6a 6 6a+6 6 6a+3 3a+6 3a+6 3a+3 3a+3 3a+3 0 6a 6a+6 3a 6a 6a+3 6a+6 3a+3 6 6a 3a+6 3a 6a+6 6a+6 3 3 0 3a 3a+3 6a 3 6a+6 3a+3 3 3 3a+3 6a 0 3a 3a+6 0 3a 3a 6a+3 3a+3 6 6a+3 3a+3 3a+6 3a+6 3a+3 6a 3a+3 6a 3a+6 3a 6 3a generates a code of length 91 over GR(81,9) who´s minimum homogenous weight is 693. Homogenous weight enumerator: w(x)=1x^0+360x^693+216x^694+72x^699+432x^700+2232x^701+1024x^702+1224x^703+2160x^704+2016x^708+5904x^709+19440x^710+1184x^711+4824x^712+5904x^713+7128x^717+15984x^718+44928x^719+896x^720+11664x^721+12096x^722+20232x^726+41904x^727+105336x^728+872x^729+20376x^730+19440x^731+23040x^735+40752x^736+90504x^737+616x^738+14184x^739+12888x^740+384x^747+336x^756+288x^765+248x^774+192x^783+112x^792+32x^801+8x^810+8x^819 The gray image is a code over GF(9) with n=819, k=6 and d=693. This code was found by Heurico 1.16 in 56 seconds.