The generator matrix

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

generates a code of length 41 over Z27 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+34x^69+66x^70+66x^71+92x^72+144x^73+252x^74+102x^75+456x^76+384x^77+102x^78+1446x^79+3462x^80+86x^81+2766x^82+6564x^83+82x^84+1926x^85+576x^86+66x^87+378x^88+306x^89+52x^90+60x^91+42x^92+34x^93+48x^94+12x^95+26x^96+26x^99+16x^102+6x^105+4x^108

The gray image is a code over GF(3) with n=369, k=9 and d=207.
This code was found by Heurico 1.16 in 1.29 seconds.