The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1  0  1  1  1 24  1  0  1  1 24  1  1  1  1  1  1  0  1  1  9  1 21  1  9  1  1  1  1  1  1  1 21  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 24 19  1  4  0 16  1 23  1  0 19  1 21 21 16  4 26 24  1 21  4  1  9  1 23  1 23 16  0  7  9 20  5  1 16
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  0  9  0 18  0  0 18  0  0  9 18  0  0  9 18  0  0 18  9 18  9 18  9  9 18  0  0  9  0  9  0  9  0 18  9
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0 18  0 18 18  0  0 18 18 18  0 18  9  0  9 18 18 18 18  9  9  0 18  9  0  9 18  9 18  9  9  9  0 18  0 18  9  9
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18 18  9 18  0  9 18 18  9  0 18  0  0 18  9 18  0  0  9  0  9  9  0  9  0  9  9  9  9  0  9  9 18  0  0 18
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9 18  0  0  0  9  9  9 18 18  9  9  0  0  9  9  9  0  9  9  0  0  9 18  9  0  0  9  0 18  0  9 18 18  9  0 18  0

generates a code of length 57 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+162x^102+18x^103+36x^104+682x^105+828x^106+360x^107+1812x^108+2286x^109+1440x^110+5954x^111+6192x^112+2880x^113+10336x^114+7272x^115+2880x^116+7644x^117+4518x^118+1152x^119+1262x^120+756x^121+390x^123+100x^126+40x^129+16x^132+6x^135+14x^138+4x^141+4x^144+2x^147+2x^150

The gray image is a code over GF(3) with n=513, k=10 and d=306.
This code was found by Heurico 1.16 in 9.08 seconds.