The generator matrix

 1  0  1  1  1  1  1  0  1  1  1 15  1  1  0  1  1 18  1  1  1 24  1  1  1 21  1  3  1  1  1  3  1  1  1  1 12
 0  1  1 26 18 25 17  1  0 22 26  1 16 21  1 20  0  1 23  2 12  1 25 16 23  1  3  1 16 14 10  1 14  5  7  1  1
 0  0 24  0 18  0 21 24 18 21 15 12  0  6 18 21 15  3  0  9 15 15 18 24 24 15 12 24 12 12  9 21 24 15  3 15  0
 0  0  0  3 21 12 18  9 24  6 15  0 24 24 15 21 18 12  6  0 21  0  9 24 21  6 18  6 12 24 21 24 15 18  9  3 12

generates a code of length 37 over Z27 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+624x^66+378x^67+918x^68+2058x^69+3006x^70+3384x^71+5534x^72+8478x^73+8154x^74+7782x^75+8964x^76+4860x^77+2706x^78+1044x^79+180x^80+664x^81+306x^84+6x^87+2x^90

The gray image is a code over GF(3) with n=333, k=10 and d=198.
This code was found by Heurico 1.16 in 5.12 seconds.