The generator matrix

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

generates a code of length 80 over Z27 who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+258x^149+370x^150+360x^151+1566x^152+1350x^153+1476x^154+4146x^155+2700x^156+3078x^157+6150x^158+4588x^159+4392x^160+7866x^161+4650x^162+3600x^163+5514x^164+2282x^165+1512x^166+1614x^167+608x^168+162x^169+324x^170+70x^171+150x^173+90x^174+78x^176+32x^177+18x^179+20x^180+18x^182+4x^183+2x^189

The gray image is a code over GF(3) with n=720, k=10 and d=447.
This code was found by Heurico 1.16 in 16.1 seconds.