The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  0  1  1  1 21  1  1 24  1  1  1  1  1  0  1 24  1  1 21  1  1  1  1  1  1  1  1  0  1  1  1  1  1 21  1  1  1  1  6  1  1  1  1  1  1 12  1  1  1  1  1  1  1  1  1  1 24  9  6  1  1  1  6  1  1
 0  1  7 26 21  4 20  1 19 24  1 23 26 16  0  4  1 19 21 20  1 23 24  1 16 26 19 23  0  1 21  1 24  4  1  5 26 20  6 16 13  8 21  1 24  9 20 23 19  1  6 15 10 11  1 11 26  4 16 10 19  1  0  9  1 12 20 21 15  9  3  3  1  1  1  4 11 11  1 17 21
 0  0  9  0  0  0 18  9 18  9  9  9  9  0 18  0  0  9  9 18  0 18  9  0 18 18 18  9  0 18  9  9  0  0  0 18  9  9  0 18  0  0  9 18 18 18 18  0 18  9  9  9  0  9  0  0  9  9 18 18  0  9  0  0  0  9  9 18  0  9 18  9  0  9 18 18 18 18 18  0 18
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9  0  9  9  0  9 18  9  0 18  9  0  0  0 18  9  9 18  9 18  9  0  9  9 18  9 18 18 18  0  0 18 18  0 18  9  9  0  0 18  0  9  0  9  0  0 18 18  9  9 18  9 18  0  0 18  0 18  0 18 18 18 18  0  0  0 18
 0  0  0  0 18 18  0 18 18  9 18 18  9  9  9  9  0  0  0 18  9  9 18  0  0 18  0 18  0  9  9  9  0 18  9  9 18  9  9 18  9  0  0  0  9  9 18  9  0  9 18  9 18  9  9  9 18 18  0  9 18  0  9 18  0  0  0  0  0  0 18  9  0  9  0  9  9 18 18  9 18

generates a code of length 81 over Z27 who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+240x^153+222x^154+714x^155+684x^156+894x^157+1494x^158+1310x^159+936x^160+2772x^161+1254x^162+1398x^163+2688x^164+1240x^165+1122x^166+1428x^167+610x^168+234x^169+108x^170+132x^171+36x^172+18x^173+70x^174+18x^175+12x^176+22x^177+14x^180+2x^186+4x^189+2x^192+2x^198+2x^201

The gray image is a code over GF(3) with n=729, k=9 and d=459.
This code was found by Heurico 1.16 in 1.63 seconds.