The generator matrix

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

generates a code of length 82 over Z27 who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+446x^153+54x^154+432x^155+1620x^156+882x^157+2484x^158+3862x^159+2340x^160+4302x^161+5196x^162+3744x^163+6552x^164+5686x^165+3816x^166+5832x^167+4668x^168+2034x^169+2070x^170+1634x^171+252x^172+198x^173+466x^174+258x^177+132x^180+58x^183+14x^186+16x^189

The gray image is a code over GF(3) with n=738, k=10 and d=459.
This code was found by Heurico 1.16 in 13.7 seconds.