The generator matrix

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

generates a code of length 79 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+292x^150+534x^151+660x^152+1210x^153+1482x^154+1500x^155+1688x^156+2178x^157+1578x^158+1578x^159+1668x^160+1392x^161+1128x^162+1128x^163+678x^164+488x^165+240x^166+24x^167+70x^168+12x^169+44x^171+18x^172+26x^174+12x^175+28x^177+18x^178+6x^180+2x^189

The gray image is a code over GF(3) with n=711, k=9 and d=450.
This code was found by Heurico 1.16 in 1.57 seconds.