The generator matrix

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

generates a code of length 44 over Z27 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+56x^75+6x^76+36x^77+202x^78+114x^79+150x^80+366x^81+330x^82+222x^83+450x^84+1236x^85+3138x^86+874x^87+2226x^88+6132x^89+850x^90+1668x^91+318x^92+484x^93+162x^94+174x^95+188x^96+90x^97+36x^98+90x^99+32x^102+28x^105+14x^108+4x^111+4x^114+2x^117

The gray image is a code over GF(3) with n=396, k=9 and d=225.
This code was found by Heurico 1.16 in 1.42 seconds.