The generator matrix

 1  0  1  1  1  1  1 21  1  1 24  1  1  1  1  1  0  1  1  1  1 21  1  1  1 24  1  1  1  1  1  0  1  1 24  1  1  1 24  1  0
 0  1  7 26 21  4 20  1 19 24  1 23 26 16  0  4  1 19 21 20 23  1 24 16 21  1 20  4 23 12 24  1 20 21  1 26 11 19  1  4  1
 0  0  9  0  0  0 18  9 18  9  9  9  9  0 18  0  0  9  9 18 18  0  9 18 18  9 18 18  0  9  9 18  9 18  9 18 18  9 18  9  0
 0  0  0  9  0  9  9  9 18 18  0 18  0  9  9  0  9  9  0  9  9 18  0  9 18  0 18 18  0 18  0  0  9 18  9  0 18 18  0 18  9
 0  0  0  0 18 18  0 18 18  9 18 18  9  9  9  9  0  0  0 18  9  9 18  0  9  9  9  0  9  0  9 18  9  0  9 18 18 18  0  9  9

generates a code of length 41 over Z27 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+192x^74+256x^75+270x^76+648x^77+1026x^78+1620x^79+1584x^80+2240x^81+3240x^82+2064x^83+2496x^84+2160x^85+1188x^86+442x^87+144x^89+72x^90+12x^92+14x^93+4x^96+4x^102+4x^105+2x^111

The gray image is a code over GF(3) with n=369, k=9 and d=222.
This code was found by Heurico 1.16 in 11.5 seconds.