The generator matrix

 1  0  0  1  1  1  1  1  1  1 18  1  3  1  1 12  1  1  9  1  1 12  1  1  0  1  1  1 24  1  0  1  1  1  1 12 21  1 21  1  1  1 15 18  1  1 12  1  1  1  1  1  1  1  1 15 21  1  1  1  1  1 15  1  1  1  6  1  1  1  1  1  1  1  1  1
 0  1  0  0  9 16 16 14  1 14  1 26  1 24  0 21 18 19  1 14  4  1 20  1  1 17 11  3 15 13  1 11 22 21 15  1  1 25  1  6  7  5  3  1  0  4  1 26  2  6 14 10  4  6  3  1  1 21 16 26 10  2 18 20 24 20 12  9  0 25 18 17 19 22 20 12
 0  0  1  1 17 17 15 16  7 21 16 23  2  4 23  1 18 18 19 21 23 21 20 22  5  1  5 17  1  6 16 16  9 10  6  3  5 10 13 12  2  0  1  0 23 13  7 25  3  7 24 17  4 26  1  2 17  2 15 26  8  8  1 22 20 15  1 25 24 22  3 15 14  3 24 22
 0  0  0 24 18  9  0  9  0 18 18  0  9  0  9  0 12 18 18 24 24 21 15  6  6 15 12  3 21 12 24 21 15 21 24  6 21  6 15 12 12 21  6 12  6 21  3 24 21  3 15 21  9 15  0  9 24  9  3 21  6  3  0  9 21  9  3  6  3  0  9 24 21 15 15 21

generates a code of length 76 over Z27 who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+340x^141+1194x^142+1794x^143+3548x^144+4956x^145+5646x^146+8422x^147+10152x^148+11730x^149+14258x^150+15342x^151+15912x^152+18402x^153+16086x^154+13362x^155+12434x^156+9312x^157+6072x^158+3810x^159+2352x^160+738x^161+630x^162+204x^163+84x^164+72x^165+114x^166+54x^167+24x^168+48x^169+6x^170+18x^171+12x^172+6x^173+6x^174+6x^175

The gray image is a code over GF(3) with n=684, k=11 and d=423.
This code was found by Heurico 1.16 in 76.4 seconds.