The generator matrix

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

generates a code of length 75 over Z27 who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+1120x^144+1044x^145+1854x^146+2604x^147+1800x^148+1242x^149+1764x^150+1602x^151+1260x^152+1654x^153+936x^154+612x^155+882x^156+342x^157+360x^158+450x^159+108x^160+18x^161+24x^162+6x^165

The gray image is a code over GF(3) with n=675, k=9 and d=432.
This code was found by Heurico 1.16 in 1.14 seconds.