The generator matrix

 1  0  1  1  1 14  1  1  0  2  1  1  1  1 12  1  1  2 12  1  1  6  1  1  8  1  1  1  1  1  1 10  4  1  1  1 14  1  1  1 10  0  1  2  1  1  1 14  1  1  1  1  1  8  1  1  1  1  8  1 10  1 10  0  1  1  4  1  1  1  1  2  1
 0  1 11  6  1  1  8  3  1  1  6  5 11  4  1  2  9  1  1 12 13  1 15 14  1 13  6 15  8 11  6  1  1  8  1  2  1  2 11  8  1  1  7  1 13 11 13  1  2 12 12  9  8  1 10  9  1 14  1 10  1  3  1  8 10  2  1 12  1  4 11  1 11
 0  0 12  0  0  0  0  8  8  8  0  0  8  8  0  8  8  8  0  8  8 12  4  4  4  4 12  4 12  4 12 12 12  4  8 12 12  0  8  4  0 12  4  4  8  4 12  8  8  8  0 12 12  0  0  4 12  0  0 12 12 12  0  0  0  0 12  4 12  4  0  0  4
 0  0  0 12  0  0  8  8 12 12 12  4 12  0  0  4  4  8 12  0 12  8 12  0  8  4  8  0  4  4 12  8 12  0  8  8  4  8 12  8 12  0 12  0  8  8  8  4  0  4  4 12  4  0  8 12 12  0  0  0 12  0  8  4  0  4  4  8  4  4  8  4  8
 0  0  0  0  4 12 12  8  4  0 12 12  0 12  8  8 12  4  4  8  8  4  8  0  0  4 12 12  4  8  8 12 12  0  8  0  0  0 12  4 12  0 12  0 12  8  4 12  4 12  0  8  0  4  4 12  0 12 12 12 12  4  0  8  8  4  8 12 12  0 12  0  0

generates a code of length 73 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+126x^66+184x^67+763x^68+916x^69+1770x^70+1256x^71+2268x^72+1876x^73+2302x^74+1480x^75+1723x^76+700x^77+544x^78+216x^79+114x^80+28x^81+42x^82+38x^84+14x^86+16x^88+2x^90+3x^92+1x^96+1x^100

The gray image is a code over GF(2) with n=584, k=14 and d=264.
This code was found by Heurico 1.16 in 4.47 seconds.