The generator matrix

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

generates a code of length 74 over Z27 who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+642x^136+1140x^137+4410x^138+6594x^139+8448x^140+13682x^141+17868x^142+20220x^143+31294x^144+36414x^145+40338x^146+50354x^147+51456x^148+47574x^149+51928x^150+45516x^151+32652x^152+29184x^153+18588x^154+10458x^155+7384x^156+3264x^157+918x^158+486x^159+312x^160+48x^161+58x^162+78x^163+30x^164+24x^165+48x^166+12x^167+6x^169+6x^171+6x^172

The gray image is a code over GF(3) with n=666, k=12 and d=408.
This code was found by Heurico 1.16 in 631 seconds.