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

generates a code of length 42 over Z27 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+82x^72+132x^74+196x^75+324x^77+512x^78+750x^80+1280x^81+2916x^82+1062x^83+2290x^84+5832x^85+1182x^86+1672x^87+708x^89+260x^90+210x^92+152x^93+6x^95+46x^96+34x^99+22x^102+2x^105+8x^108+4x^111

The gray image is a code over GF(3) with n=378, k=9 and d=216.
This code was found by Heurico 1.16 in 1.36 seconds.