The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21 24  1  1  1  1  1  1  1  1  1  1 21  1  0  1 21  1 21  1  1  0  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1  1 23 21 23 16  0 24 26  4 21 19  1 24  1 16  1  4  1 26  0  3  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  0  0 18  0  9  0  0 18  9  9  0  0 18 18  9  0  9 18  9  0
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18 18 18  9  0  9 18  0  0  0  0 18  0 18  0 18 18  0  9  9  9  9  0  9  0
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  9  9  9  0  9 18  0 18 18  9 18  9  0  0  9  9  9 18  0  0  9  0 18  0
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  9 18 18 18  0  0  0 18  9  9  9  9  0 18  0  9 18 18 18  9  0  9  0  0

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

Homogenous weight enumerator: w(x)=1x^0+38x^69+36x^70+30x^71+272x^72+150x^73+318x^74+728x^75+1212x^76+1896x^77+2232x^78+5160x^79+5508x^80+5718x^81+9432x^82+7326x^83+5958x^84+6606x^85+3720x^86+1428x^87+636x^88+132x^89+252x^90+84x^91+24x^92+68x^93+12x^94+40x^96+10x^99+12x^102+6x^105+2x^108+2x^111

The gray image is a code over GF(3) with n=369, k=10 and d=207.
This code was found by Heurico 1.16 in 5.47 seconds.