The generator matrix

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

generates a code of length 81 over Z27 who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+222x^151+384x^152+578x^153+1452x^154+1608x^155+1872x^156+3174x^157+3144x^158+3258x^159+5352x^160+5106x^161+5112x^162+6606x^163+5082x^164+3512x^165+4686x^166+2754x^167+2142x^168+1404x^169+516x^170+252x^171+186x^172+180x^173+12x^174+150x^175+114x^176+14x^177+60x^178+60x^179+2x^180+36x^181+6x^182+2x^183+4x^186+2x^189+2x^192+2x^198

The gray image is a code over GF(3) with n=729, k=10 and d=453.
This code was found by Heurico 1.16 in 95.4 seconds.