The generator matrix

 1  0  1  1  1  1  1  1  0  1 18  1  1  1  1 24  1 21  1  1  3 21  1  1  1  6  1  1  1  1 24  1  1  1 21  1  1  1  1  1  1  1  1  1  1  1  1 24  1  1  1  0  1  1  1  1 15  1  1  1  9  1  1  9 12  1 15  1  6  1  1  1  1  1  1  0  1  1  1  3  1  1  3  3
 0  1  1 26 21 20 16 24  1 22  1 17  5 16 18  1  4  1 26  0  1  1 23 24  4  1 26 21 20 10  1 23  4  2  1  3 15  1  8 15 19 22 16  9  7 15  8  1  0 22 23  1 12  7 26  9  1 16 12  9  1  3 21  1  1 14  1 24  1 26  5 21 10  7 11  1  4 22 21  1 20 15  6  0
 0  0 24  0 18 18  9  0  6 21 21 21 15  6 12 15 24 15 24 15 21  0  9 15  0  3  9 15 15  0 15 12  6 12 18  3 12  3  9  6 24  9  9 18 21  0 24 18 21 21 24 24  9  6 15  0 21  0  6 12 12  6  3 12 12  3 18 15 24 18 15 12  3 21  9  0  3 24 18  6  3  9  3  6
 0  0  0  9  9  0 18 18 18  9  9  0  0 18  0  0  9  9 18  0  0 18  0  9  9 18 18  0  9  0 18  9  0 18  9 18  9  9  0  0  9 18  9 18 18  0  0 18  9  0  9  9  0  0  9  9  9  0 18 18  0  9  0 18  9  0  0 18  9 18 18  9 18  0 18 18 18 18  0  0  9  9  0  9

generates a code of length 84 over Z27 who´s minimum homogenous weight is 160.

Homogenous weight enumerator: w(x)=1x^0+384x^160+504x^161+968x^162+1404x^163+1350x^164+1102x^165+1866x^166+1566x^167+1436x^168+2100x^169+1548x^170+1406x^171+1236x^172+1134x^173+512x^174+582x^175+216x^176+102x^177+96x^178+18x^180+48x^181+6x^183+18x^184+22x^186+30x^187+10x^189+12x^190+6x^195

The gray image is a code over GF(3) with n=756, k=9 and d=480.
This code was found by Heurico 1.16 in 1.73 seconds.