The generator matrix

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

generates a code of length 42 over Z27 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+240x^76+294x^77+1676x^78+2214x^79+3414x^80+6208x^81+4368x^82+5760x^83+8892x^84+6204x^85+6306x^86+6990x^87+3066x^88+1662x^89+1204x^90+378x^91+36x^92+42x^93+36x^94+24x^95+16x^96+12x^97+6x^100

The gray image is a code over GF(3) with n=378, k=10 and d=228.
This code was found by Heurico 1.16 in 4.44 seconds.