The generator matrix

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

generates a code of length 43 over Z27 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+300x^77+384x^78+504x^79+1728x^80+2154x^81+2610x^82+4836x^83+5450x^84+6210x^85+7710x^86+7968x^87+6894x^88+5892x^89+3250x^90+1278x^91+1002x^92+344x^93+324x^95+90x^96+66x^98+40x^99+12x^101+2x^102

The gray image is a code over GF(3) with n=387, k=10 and d=231.
This code was found by Heurico 1.16 in 7.07 seconds.