The generator matrix

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

generates a code of length 72 over Z27 who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+222x^133+162x^134+728x^135+1116x^136+1152x^137+1934x^138+2862x^139+2646x^140+4138x^141+5160x^142+5490x^143+5668x^144+6936x^145+5220x^146+5000x^147+4164x^148+2430x^149+1754x^150+906x^151+396x^152+260x^153+276x^154+114x^156+138x^157+46x^159+66x^160+28x^162+24x^163+6x^165+2x^168+2x^171+2x^174

The gray image is a code over GF(3) with n=648, k=10 and d=399.
This code was found by Heurico 1.16 in 12.7 seconds.