The generator matrix

 1  0  1  1  1  1  1  3 24  1  1  1  1  3  1  1  1  1  1  0 21  1  1  1  1  1 15  1  1  1  1  1  1  3  1  1 18  1 12  1  1  1 18  1  1  1  1  1  1  1 12  1 18  1  3  9  1  1  3  1  0  1  1 15  1  1  1  1  1  6 21  1  1  6  1
 0  1  1 26 18 25 26  1  1 26 16 21  4  1 18 20 12  5 16  1  1 24  7 23  2 18  1 13  2  1  6  4  5  1 21  1  1  0  1 14 24  2  1 25 17 24 19  1  7  8  1  9  1 14  1  1  4 23  1 22  1 20  9  1  8  2  1  5  3  1  1 12 19  1  4
 0  0 24  0 18  0  0  9  0 18 18  9  9 12 21  6 24 12 24 21 15 15  6  3  6 12 21 12  3 21 15  3 24 15 21  3 24  6 18 21  9 12 15 18 24  0  3  9  6  6 15 24 15 15 24 12 15  9 21 18  3  0 15 18  0 21  0 18  3 21  9 18  0 12  3
 0  0  0  3 21 12  9  3 15  6 24  6 18 15 24 24  3 24  6  3  9 18  3 12 18  3  9 12  9 15  6 18 12  3  0 21 15 12  9 21  9 15 12  3 21 24 18 24 15 18 12 15 18 12 15  6  9  0 12 21 15  9  3  6 21 18  0 24  3 18  6  9 24  6 21

generates a code of length 75 over Z27 who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+90x^139+168x^140+692x^141+996x^142+1152x^143+2598x^144+2808x^145+2730x^146+4016x^147+5460x^148+4674x^149+5756x^150+7302x^151+4638x^152+5732x^153+3936x^154+2064x^155+1768x^156+900x^157+438x^158+390x^159+210x^160+108x^161+78x^162+90x^163+30x^164+84x^165+66x^166+30x^167+18x^168+6x^169+6x^170+6x^171+6x^172+2x^177

The gray image is a code over GF(3) with n=675, k=10 and d=417.
This code was found by Heurico 1.16 in 11.2 seconds.