The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1  1  9  1  1 21  6  1 21  1  1  1  1  0 15  1  1 24  1  1  1 15  9  1  1  1  1 15  1  1  1
 0  1  0  0 18  1 19  1  3 12 11 23  2 25  1 21  6  1  1 25 15  8  1 15  5  1  1 16 17  1 26 13 14 15  1 22 19 23 25  9  8  1 18
 0  0  1  0 16 25 14  7  4  5 15  1 11 19 14 24 23 25 15 20  1  7 10 13 18 22 20 21 20  0 19 12  7  1  1 20  6 11 14  1 17  2 24
 0  0  0  1 14  9  5  5  1 21 13  3 11 23 25 26  4 25  8 25  7 13  4 18 26  3  9 22 21 22 15  6  5  8 20 19 11 16 14 16 10 15 10

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

Homogenous weight enumerator: w(x)=1x^0+552x^76+1446x^77+5366x^78+6696x^79+10812x^80+22322x^81+24132x^82+35640x^83+54104x^84+54366x^85+64626x^86+79988x^87+58512x^88+46938x^89+37444x^90+15642x^91+7074x^92+4528x^93+882x^94+132x^95+80x^96+60x^97+30x^98+44x^99+24x^100

The gray image is a code over GF(3) with n=387, k=12 and d=228.
This code was found by Heurico 1.16 in 320 seconds.