The generator matrix

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

generates a code of length 81 over Z27 who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+552x^152+554x^153+576x^154+2220x^155+2504x^156+2034x^157+3678x^158+3840x^159+4302x^160+6168x^161+5520x^162+5112x^163+6174x^164+4904x^165+3312x^166+3180x^167+1788x^168+666x^169+822x^170+370x^171+36x^172+270x^173+100x^174+156x^176+60x^177+72x^179+26x^180+30x^182+14x^183+6x^185+2x^192

The gray image is a code over GF(3) with n=729, k=10 and d=456.
This code was found by Heurico 1.16 in 63.1 seconds.