The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  1  1  1  1  3  0  1  1  3  1  1  1  1  3  1  3  1  1  3  1  1  1  1
 0  3 24  0 21 24  9 21  6  0 21 24 18 12 15 24 21  0 18 24  3  6 18 21  3  0 24  6  0 12  0 21 15  3 24  9 21  0 21  9 18 15  3 21 12  0 15  6 21 12 18  9  6 12  3 24  3 12 18 21  3  6  6  6 24  9  0 21  6 21 15  0  9  6
 0  0  9  0  0  0  0  0 18  0 18 18  0  9  0  9  9  0  0  9  0  9  0 18  9  9  0 18  9  9 18 18  9  9  0  9  9 18  0  9 18  9  0  0  0  9 18 18  0  9 18  9 18  9  0  9  9  0  0  9 18  9  9  0  9  9  9  9 18 18  0  9 18  0
 0  0  0  9  0  0 18  0  0  9 18 18  9  9  9  0 18 18  9  9  9  9 18  0  9  9  9  9  0  9 18  0  0 18  0 18  0  9 18 18  9 18  9 18  0  0  0  9 18 18  0  9  9  0  9  0  9 18  9 18 18 18  9  0  9 18 18  9  0  0  9  9 18  9
 0  0  0  0 18  0  0  9  0 18 18  9  9 18 18  9  9  0  9  0 18  9 18  9  9  0  9  0  9  0  9  9  9  9  0  9 18  0  9 18  0  0 18 18  9  9 18 18  9 18 18  9 18  0  0 18 18  9  0  0  9  9  0  0 18 18 18  0  9  9  0  9  0 18
 0  0  0  0  0  9  0  0 18 18  0 18  9  0  9 18  9  9 18 18  9  9  0  0 18  0  9  0  0 18  0 18  9  0 18  9 18 18  9  9  9  0 18  0  9 18 18  9 18  0  9 18  0  0 18 18 18  0 18 18  0  9  9  0  9 18 18  9  0 18  0  0  9  0

generates a code of length 74 over Z27 who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+130x^135+66x^136+380x^138+180x^139+84x^140+456x^141+366x^142+138x^143+1042x^144+1146x^145+1902x^146+2440x^147+2178x^148+3318x^149+2408x^150+1494x^151+294x^152+410x^153+168x^154+96x^155+338x^156+120x^157+212x^159+84x^160+122x^162+24x^163+24x^165+6x^166+14x^168+12x^171+20x^174+6x^177+2x^180+2x^201

The gray image is a code over GF(3) with n=666, k=9 and d=405.
This code was found by Heurico 1.16 in 2.85 seconds.