The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  1  1  1  1  3  1  1  0  1  1  1  1  3  3  1  0  3  0  1  3  1  1  3  1  1  1
 0  3 24  0 21 24  9 21  6  0 21 24 18 12 15 24 21  0 18 24  3  6 18 21  3  0 24  6  0 12  0 21 15  3 24  9 21  0 21  9 15 18  3 21 12  0 15  6 21 12 18  9  6 12  3 24 15 15  3  9  3 18  0 18 21 12  3 21  3  0 21 21 12 24 21 24  6
 0  0  9  0  0  0  0  0 18  0 18 18  0  9  0  9  9  0  0  9  0  9  0 18  9  9  0 18  9  9 18 18  9  9  0  9  9 18  0  9  9 18  0  0  0  9 18 18  0  9 18  9 18  9  0  9  0  9  9 18 18  9  9 18 18 18  0  0  9  9  9  0  0  9  9  0  9
 0  0  0  9  0  0 18  0  0  9 18 18  9  9  9  0 18 18  9  9  9  9 18  0  9  9  9  9  0  9 18  0  0 18  0 18  0  9 18 18 18  9  9 18  0  0  0  9 18 18  0  9  9  0  9  0  0  9 18  0 18  0  0  9 18  9  0  0  9  9  9 18 18  0  9  0  9
 0  0  0  0 18  0  0  9  0 18 18  9  9 18 18  9  9  0  9  0 18  9 18  9  9  0  9  0  9  0  9  9  9  9  0  9 18  0  9 18  0  0 18 18  9  9 18 18  9 18 18  9 18  0  0 18 18 18 18  9  9 18  9  9  9 18 18  9 18  9 18  0  9  9  0 18 18
 0  0  0  0  0  9  0  0 18 18  0 18  9  0  9 18  9  9 18 18  9  9  0  0 18  0  9  0  0 18  0 18  9  0 18  9 18 18  9  9  0  9 18  0  9 18 18  9 18  0  9 18  0  0 18 18  0  9  9 18  0  0  9  9  0  9  9  9  0  9 18 18  0  9  9  9  0

generates a code of length 77 over Z27 who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+130x^141+60x^142+6x^143+386x^144+156x^145+186x^146+558x^147+360x^148+636x^149+968x^150+1188x^151+1596x^152+2376x^153+2160x^154+2064x^155+2392x^156+1482x^157+1200x^158+466x^159+204x^160+126x^161+296x^162+168x^163+18x^164+208x^165+48x^166+144x^168+6x^169+36x^171+20x^174+16x^177+8x^180+6x^183+2x^186+2x^189+2x^195+2x^201

The gray image is a code over GF(3) with n=693, k=9 and d=423.
This code was found by Heurico 1.16 in 3.01 seconds.