The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+180x^150+216x^151+852x^152+780x^153+594x^154+990x^155+502x^156+216x^157+426x^158+360x^159+324x^160+570x^161+300x^162+108x^163+66x^164+52x^165+6x^167+6x^171+6x^173+4x^174+2x^189

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 0.318 seconds.