The generator matrix

 1  0  1  1  1  1  1  3 24  1  1  1  1  3  1  1 21  1  1  1  1  9  1  1 15  1  1  1 18  1 21  1  1  1  1  1  1  1  1  1 18  1  1  1  1 21  9  1  1  9  1  1 12 15  1  1  1  0  1  1  1  1  1  1  1 24  3  1 21  1  0 18  1  1  1  1  1  9  1  1  1  1
 0  1  1 26 18 25 26  1  1 26 16 21  4  1 18 20  1  5  4  0  7  1 20 24  1 23 10  3  1  2  1 21  8 25 12 25  9 13  7  2  1  6 21  8 20  1  1 10 10  1 19 18  1  1  4 23 21  1 20 22 19  4  1 26  6  1  1 13  1 25  3  1 18 21 20  1 20  1 25 17  2 25
 0  0 24  0 18  0  0  9  0 18 18  9  9 12 21  6 15 12 15 15 24 12 15 15 21  3 12  3 15  3 15 24 24 21 21 24 24 21 21 18 12  3  9 12 21 12  9 12  0  3 15 18 18 24 12  9 15  9 24  0  9 15  6 12  0  9 21  6 21 21  0  0 24 21  6 21  0 24 12  6  3 21
 0  0  0  3 21 12  9  3 15  6 24  6 18 15 24 24  9 24 15 12 21  3  3 18  9 12 21  0 12  9  6  3  9  6 12  6 15 18 21  0 24 21  9  0 12  0 12 18 12  6  9  6  0 18  6 21  6 15  3 18 24  6 12  3 24  3 24 21  3 18 15  9  3 15 18  0 24  3 24 12 18 24

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

Homogenous weight enumerator: w(x)=1x^0+206x^153+174x^154+660x^155+1744x^156+1080x^157+1962x^158+3696x^159+2460x^160+4074x^161+6038x^162+3456x^163+5070x^164+7890x^165+3306x^166+5046x^167+5412x^168+1968x^169+1770x^170+1348x^171+546x^172+192x^173+354x^174+54x^175+120x^176+118x^177+54x^178+24x^179+114x^180+18x^181+36x^182+36x^183+6x^184+8x^186+6x^189+2x^192

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 12.4 seconds.