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

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

Homogenous weight enumerator: w(x)=1x^0+156x^74+52x^75+300x^77+114x^78+738x^80+254x^81+2916x^82+1248x^83+242x^84+234x^86+24x^87+144x^89+16x^90+72x^92+8x^93+24x^95+6x^96+6x^99+4x^102+2x^117

The gray image is a code over GF(3) with n=369, k=8 and d=222.
This code was found by Heurico 1.16 in 1.57 seconds.