The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 18  3  1  1  1 24  1  1  1  1  1  1 24  1 21 21  1  1  1  1 24  1  1  0  1  3  3  1  1  1  1  1
 0  1  1 26  7 18 17  1  4 21 23  1  1 16 20 24  1  1  2 21 22 20  3  1 26  1  1 22  6 20  0  1 13  4  1 15 21  9  9  5 25 13 26
 0  0 24  0  0 21 21 18  9  6 15 21  3 24  6 15  9 12  3  0 12 18  3 24 15 15 18 21  6  9 24 18  3 18 24 21  3  6  6  3 18  6 24
 0  0  0  9  0 18  0  9  0  0  9 18 18  0 18  0 18 18 18 18  9  0  0 18 18  9 18  9  0  0 18  9  0  9 18  9  9 18  9 18  9 18  9
 0  0  0  0  9  0  0  0 18  0  0 18  9 18 18 18  9 18 18  9 18 18  0 18  9  0  0  9  9  0  9 18  9  9  0  0 18  0  9  9  0 18 18

generates a code of length 43 over Z27 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+108x^76+210x^77+406x^78+1296x^79+1194x^80+1846x^81+3120x^82+3750x^83+5730x^84+7320x^85+6696x^86+7916x^87+7128x^88+4788x^89+3568x^90+2622x^91+654x^92+152x^93+168x^94+150x^95+44x^96+90x^97+48x^98+10x^99+18x^100+6x^101+2x^102+4x^105+2x^108+2x^111

The gray image is a code over GF(3) with n=387, k=10 and d=228.
This code was found by Heurico 1.16 in 5.91 seconds.