The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+186x^144+198x^145+864x^146+720x^147+522x^148+684x^149+918x^150+360x^151+162x^152+648x^153+324x^154+648x^155+166x^156+54x^157+72x^158+22x^159+6x^162+2x^177+2x^189+2x^192

The gray image is a code over GF(3) with n=675, k=8 and d=432.
This code was found by Heurico 1.16 in 0.297 seconds.