The generator matrix

 1  0  1  1  1  1  1  1  0  1  1 18  1 21  1  1  1  1  3  1  1  1  1  6  1  1 15  1 24  1  1  6  1  1  1  1 21  3  1  1  1  1 21  1  6  1  1  1 18 18  1  0  1  1 15  1  1  1  1  1  3  1  1  1  1  1  1  1  1  1  3  1
 0  1  1 26 21 20 16 24  1 26 13  1 17  1 18  4 23 19  1 12 14 15 25  1 22  2  1  3  1 11  9  1  1 17  7 15  1  1  4 22 26 23  1  6  1  4 26 16  1  1  1  1  1  2  1  7  4 10 17  0  1 20 11 15  8 10 22  4 21 22  9 14
 0  0 24  0 18 18  9  0 15  6  3  3 21 15  3 18  0 18 21 15 12 21 21  3  3 21  3 12 24 24  6  0  3 21 24  3 12  9  6 12  6  9  6  0  6 18  3  9  3 15 15 18 21  6  9  0  9 21  9 15 18  0 21 15 15  9  6 24  6 12  6 21
 0  0  0  9  9  0 18 18  9  0  9  0 18  0 18  0 18  9 18 18  9  0 18  0  0  0  9 18 18 18 18 18  9  9  9  9  0  9 18 18  9  9  9  0  0 18  0  9  9 18  9  9 18  9  0  0  9  0  0  0 18 18  9  0 18 18  0  9  9  9 18  0

generates a code of length 72 over Z27 who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+294x^136+450x^137+682x^138+1278x^139+1110x^140+1574x^141+1770x^142+1848x^143+2088x^144+1938x^145+1254x^146+1566x^147+1488x^148+960x^149+590x^150+396x^151+114x^152+32x^153+60x^154+60x^155+12x^156+24x^157+18x^158+8x^159+30x^160+18x^161+6x^162+12x^163+2x^174

The gray image is a code over GF(3) with n=648, k=9 and d=408.
This code was found by Heurico 1.16 in 1.36 seconds.