The generator matrix

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

generates a code of length 42 over Z27 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+1026x^77+1360x^78+1944x^79+4008x^80+4480x^81+4842x^82+7896x^83+6802x^84+6750x^85+8010x^86+4970x^87+2754x^88+2718x^89+1050x^90+234x^91+78x^92+38x^93+72x^95+6x^96+6x^98+4x^99

The gray image is a code over GF(3) with n=378, k=10 and d=231.
This code was found by Heurico 1.16 in 84.3 seconds.