The generator matrix

 1  0  1  1  1  1  1 21  1 24  1  1  1  1  0  1  1 24  1  1  1  1  1 18  1  1 21  1  1  1  0  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1 24  1  1  1  1  1  1 21  1  1  1  1  1  1  3  1  9  1 18  1  3  1  1  1 15
 0  1  1 26 21 24 20  1 23  1 16  4 18 17  1  1  3  1 23 22 26 25  0  1 20 15  1 19 24  4  1 26 10 21 12  7 20  1 17  1 21  2 18 25  1  0 14  5 26  9  1 20 11  9  1  4  5  1  9 17 11 25  2  9  1 11  3 17  1 21 15  8 15  6  1
 0  0 24  0  0  9 18  9  0  9 15 24 21 12 24  3  3  6  6  3  6 12  6 12 15 21 15 24  6 15  0 18 18  0  3 18  6  6 21 21  9  9 12 18 12 24 18 12  3 24  9  9 12 18 24  3 15  0 15 21 15  3 15  9  3  6  6 18  6 12  3  0 12  3 21
 0  0  0  9  0  0  0 18 18  9 18  9 18  9  9  9  0  0 18  0  0 18 18  9  9 18  9  0  0 18  0  0  9  9 18 18  9  0  9  9  9  0  9  9  0 18 18  9 18 18 18  9  0  9 18 18  0  9  0 18  9  9 18 18 18  0  9  9 18  9 18 18  0 18  9
 0  0  0  0 18  9  9  0 18  0 18  9  9  9  9  9  9  9  0  0 18 18 18  9 18  0  0  9  9  9  9  0  0 18 18  9  0  0 18  0  0 18  9  9 18  0  0  0 18  9 18 18  9  9  0  0  0  9 18  0  9  0 18  9  9  9  0  9  9 18  9 18 18  0 18

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

Homogenous weight enumerator: w(x)=1x^0+204x^139+264x^140+482x^141+1380x^142+1842x^143+1218x^144+3108x^145+4080x^146+2608x^147+4770x^148+7116x^149+3654x^150+6288x^151+7152x^152+3016x^153+4260x^154+3588x^155+1044x^156+1434x^157+594x^158+184x^159+252x^160+72x^161+110x^162+132x^163+54x^164+32x^165+18x^166+18x^167+34x^168+18x^169+6x^170+2x^171+6x^172+6x^174+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 11.8 seconds.