The generator matrix

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

generates a code of length 74 over Z27 who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+174x^139+282x^140+276x^141+1224x^142+966x^143+580x^144+1854x^145+1752x^146+862x^147+2856x^148+2076x^149+842x^150+2562x^151+1374x^152+518x^153+930x^154+234x^155+50x^156+84x^157+72x^158+8x^159+30x^160+36x^161+6x^162+6x^163+12x^164+2x^165+4x^168+4x^174+2x^177+2x^180+2x^186

The gray image is a code over GF(3) with n=666, k=9 and d=417.
This code was found by Heurico 1.16 in 1.58 seconds.