The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+258x^139+738x^140+1324x^141+2730x^142+3282x^143+3812x^144+4752x^145+5538x^146+5318x^147+5550x^148+4740x^149+4754x^150+4092x^151+3864x^152+2674x^153+2322x^154+1524x^155+716x^156+636x^157+210x^158+84x^159+36x^160+18x^161+8x^162+18x^163+12x^164+20x^165+18x^166

The gray image is a code over GF(3) with n=666, k=10 and d=417.
This code was found by Heurico 1.16 in 8.98 seconds.