The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  3  3
 0  3  0  0 24 21 15  3 24  9  3 18 24 21 21 15 24  9 21  0  3 24  6 21  9  9 12  3 24  6  3  6  6 21 21 18 21  6 12 18  3
 0  0  3 24  9  6 21  3  6 18  3 21  0 15 18  3  6 15  6 12  9  0  3 21 24 18 24 18 24  3 12 15 21 12  9 18 18 24  0 21 21
 0  0  0  9  0  0 18  9 18 18 18 18  9 18 18  0  9 18  9  9  9 18  9  0  0  9  9  9  0  0  0  0  9 18  0  9  9  9 18 18  9

generates a code of length 41 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+162x^75+72x^76+132x^77+484x^78+108x^79+618x^80+930x^81+1572x^82+1062x^83+754x^84+144x^85+66x^86+120x^87+36x^88+30x^89+176x^90+12x^91+36x^92+38x^93+6x^96+2x^114

The gray image is a code over GF(3) with n=369, k=8 and d=225.
This code was found by Heurico 1.16 in 0.153 seconds.