The generator matrix

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

generates a code of length 78 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+124x^150+180x^151+1410x^152+244x^153+540x^154+1050x^155+334x^156+180x^157+774x^158+220x^159+324x^160+894x^161+112x^162+72x^163+84x^164+8x^165+4x^168+4x^183+2x^192

The gray image is a code over GF(3) with n=702, k=8 and d=450.
This code was found by Heurico 1.16 in 0.329 seconds.