The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1
 0  3 24  0 21 24  9  6 21 21  0 24  9 21 24 21 15  0 15 12 12 24 12 15  0  9  9 18 21 24 12 15 12 21  3 12 21 12 12  6 15 15 24 15 15 21  9  0 18  0  9  9  9  0 24 12  9 18  9  6 15  6 15 18  0 24  9 24  0  0 18 24  6 15 21 21 12  3 12  3  3 21 12 21  3 21  0
 0  0  9  0  0  0  0 18 18  9  9  9 18  9  9 18  0  9  9 18  0 18  0  0  9 18  9 18  9 18  9  9 18 18  9  0  9  0 18  0  9 18  0 18 18 18 18  0  9  9 18  9  0  0 18 18 18 18  9  0  0 18  0 18  9 18  0  9  0 18  0  9  0  9 18  9  0 18  9  0 18 18  0  0  0 18 18
 0  0  0  9  0  0 18  0  0  0  0  0  9  9  9 18  9  9 18  9  9  9 18 18 18 18  9  0  9 18 18  9 18  9 18  9  0 18  0 18  0  0  9 18  0  9  9  9 18 18  0  0  0  0  9  9 18  0  9  9  0  9  0 18  0 18 18 18  9  9 18 18 18  9 18  0  9  0 18  9  9  0  0 18 18 18 18
 0  0  0  0 18 18  0  9 18  9  9 18 18  0 18 18 18  0  0 18  0  9  0 18  9 18  9 18  9  9  9  0  9  9  0 18  0 18  9  0  9 18  9 18  0  0  0 18 18  0  0 18 18  9 18  0  9  9 18  0  9  0  0  0  0  0  9 18  9  9 18  9  9  9  0 18  9 18 18  0  9  0  9  9  0 18  0

generates a code of length 87 over Z27 who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+192x^166+306x^168+282x^169+46x^171+726x^172+2994x^174+1386x^175+160x^177+78x^178+16x^180+60x^181+12x^183+78x^184+108x^186+108x^187+6x^190+2x^258

The gray image is a code over GF(3) with n=783, k=8 and d=498.
This code was found by Heurico 1.16 in 4.28 seconds.