The generator matrix

 1  0  1  1  1  1  1 18  1  1  3  1  1 21  1  1 24  1  1  1 24  1  1  1  1  1 15  1  0 21  1  1  1  1  3  1  3  1 24  1
 0  1  1 26  7 18 17  1 21 14  1 25 23  1 22 24  1 26  3  4  1  0  4 20 15 19  1  3  1  1 21 14  1  4 15 23  3 20  1  3
 0  0 24  0  0 21 21 21 15 12 21  3  9  6  3  9  0 15 12  6 24  6  9  6 12 15  3 12 15 18 15 21 24  0  3 24 15 15  0  3
 0  0  0  9  0 18  9  9  9 18  0  9 18 18 18 18 18  0  9  9 18  9  9 18  0  9 18  0  0  9 18  0  0  9 18 18  0  9  9 18
 0  0  0  0  9  0  0  9  9  0 18  0 18  9  9  9 18  0  9  0 18 18 18  0  0 18  0  9 18 18  0 18 18  9  9  9  0  9  0 18

generates a code of length 40 over Z27 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+72x^70+168x^71+398x^72+936x^73+1068x^74+1962x^75+3522x^76+3540x^77+5254x^78+9066x^79+6138x^80+6642x^81+8874x^82+4302x^83+3700x^84+2016x^85+618x^86+224x^87+240x^88+174x^89+20x^90+54x^91+30x^92+8x^93+6x^94+12x^96+4x^99

The gray image is a code over GF(3) with n=360, k=10 and d=210.
This code was found by Heurico 1.16 in 5.34 seconds.