The generator matrix

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

generates a code of length 80 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+678x^150+342x^151+864x^152+2566x^153+1764x^154+2376x^155+4380x^156+3762x^157+3600x^158+6228x^159+5436x^160+4698x^161+6418x^162+4176x^163+3456x^164+3438x^165+1908x^166+990x^167+1062x^168+108x^169+54x^170+338x^171+222x^174+132x^177+46x^180+6x^183

The gray image is a code over GF(3) with n=720, k=10 and d=450.
This code was found by Heurico 1.16 in 15.8 seconds.