The generator matrix

 1  0  1  1  1  1  1 18  1  1  1  1  1  0  1
 0  1  1 26 25 18 17  1  3 21 24 16 20  1  0
 0  0 24  0  3 21 21 21 12 18  0 18 15 24  0
 0  0  0  9  0 18  9 18  9  9  0 18  9  0  0
 0  0  0  0  9 18  9  0 18 18  9  0  9 18 18

generates a code of length 15 over Z27 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+10x^21+72x^22+84x^23+378x^24+198x^25+1986x^26+1754x^27+7128x^28+7632x^29+15124x^30+14130x^31+7602x^32+2304x^33+234x^34+192x^35+90x^36+108x^37+22x^39

The gray image is a code over GF(3) with n=135, k=10 and d=63.
This code was found by Heurico 1.16 in 1.21 seconds.