The generator matrix

 1  0  0  1  1  1  1  0  1  1  1  1 18  1  1  1  1 18 15  1  1  1  1  1  3  1  1  3  1  1  1  6  1  1  1 24  1  9  1  1 24  1 15  1  1  1 12  3 24  1  1  1  1  1  1  0 15  1  1  9 24  1  1  1  1  1  6  1  1 24  1  6 15  1  1  1  6 21  1  1
 0  1  0  0  9 16 17  1 16 17 25  8  1 25 15  8 14  1  1 24 19  9 22 14 18 13  6  1 19 24  2  1 13  5  3  6 20  1  5 13  1 12  0 12  1 11  1  6  1  5  6 13  3 18  8  1  1  3 17  1  1  8  5 21 17  6  1 19  5  6  7  1  1  9  0 17  6  1 22 21
 0  0  1  7 17  8 20  5 18 21  1 25 16 25 11  9  7 24 19  9 14  1 21 20  1  8 10  8  0  6 17 23 10 13  2  1 15 11  6 14 15  4  1  5 13 22  1  1 19  3  8 22 16 24 22 22 21  9 16 20 22 15 22 24 26 25 15 11 18  1 24 17 26  2 19  0  1 11 18 15
 0  0  0  9 18 18 18 18  0  0  9  9  9  0  9 18 18 18 18  9  0  0  9  0 18  9 18  0 18 18  9  9  0  9  9  9  9  0  0 18  9  0  0 18 18  0  9  9  0 18  0  9  9 18  0  0  9  0  0 18 18  9 18  0  9 18  0  9  0 18  9  0  9  0 18  9  0  9 18  9

generates a code of length 80 over Z27 who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+366x^151+954x^152+1604x^153+2460x^154+3294x^155+4500x^156+4464x^157+5202x^158+5104x^159+4806x^160+4806x^161+4926x^162+4098x^163+3762x^164+2804x^165+2046x^166+1506x^167+1052x^168+624x^169+378x^170+124x^171+48x^172+18x^173+34x^174+24x^175+6x^176+12x^177+18x^178+8x^180

The gray image is a code over GF(3) with n=720, k=10 and d=453.
This code was found by Heurico 1.16 in 9.89 seconds.