The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1  1  1  1  0  1  1  1 24  1 21  1  1  1  1  1  0 24  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 19 24  4 26 16  1  4 16  0  1 20  1  0 23 21 26 24  3  1  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18  9  0  0  0 18  9  0 18  9 18  0 18  9  0  0  9 18  0  9  9  0  9  0
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0  0 18 18 18 18 18  0 18  9 18  0  0 18  9  9 18  0  0  0  0  0  0
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9 18 18 18 18  0  9 18  0  9  0  9  9  9  0  0 18 18 18 18 18  9 18  9
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  0  9 18  9 18  0  0  9 18 18  9  9  0  9  9  0  9 18  0 18 18  9 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+204x^74+174x^75+270x^76+810x^77+930x^78+2160x^79+2610x^80+4256x^81+6480x^82+5784x^83+8190x^84+8640x^85+5832x^86+5568x^87+4320x^88+1980x^89+244x^90+222x^92+146x^93+54x^95+24x^96+30x^99+20x^102+12x^105+4x^108+2x^111

The gray image is a code over GF(3) with n=378, k=10 and d=216.
This code was found by Heurico 1.16 in 5.81 seconds.