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 15  1  1  1  3 21  1  1  1  1  1  1  1  1  1  1  1  0 18  1  1  1  1  3  3  1  1  1  1  1  1  1 18  1  1  1  1  1  1 18  1 21  1 18  1  1  1  1  3  1
 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  1  4 20  0  1  1 19 12 16 11 18 26 17  0  1  7 14  1  1  4  5 20 12  1  1 23  6 21 14 21 24 14  1 17 21 15 13  1 14  1 17  1 14  3 16  6  4  2 21 17
 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  3 15  6  9 15 18  0  3  0  9  3 18 12  0 12  9  9  0  6  0 12  9 24  3 12 24  9  3 21  0 18 21 21 15 15 12 21  9  6 21  9 15  9 24 21 21 18 24 24 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 18  9  9  9 18  9 18 18  0  9  0  9  9  9  9 18  9  0 18 18  9 18  9 18  0  0  0  0  9 18  9  0  0 18 18 18  9  9  0  9  0  0  9  0  9 18  0  9  0
 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 18  9  0  0 18 18  0 18  9 18 18  0  0  9 18 18  9 18 18  0  0 18  9  0 18 18 18 18  0 18  0  9  0  0  0  9  0  9  9  9 18  0 18  9  9  9  9 18  0 18

generates a code of length 79 over Z27 who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+376x^147+18x^148+252x^149+2304x^150+666x^151+2052x^152+4784x^153+1386x^154+3510x^155+7134x^156+2664x^157+5166x^158+8854x^159+2520x^160+4752x^161+6224x^162+1314x^163+1674x^164+2142x^165+180x^166+90x^167+512x^168+282x^171+122x^174+44x^177+22x^180+4x^186

The gray image is a code over GF(3) with n=711, k=10 and d=441.
This code was found by Heurico 1.16 in 12.1 seconds.