The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+104x^65+334x^66+544x^67+1291x^68+1930x^69+2866x^70+3172x^71+4316x^72+4024x^73+4208x^74+3214x^75+2833x^76+1634x^77+1174x^78+488x^79+235x^80+168x^81+92x^82+56x^83+27x^84+10x^85+24x^86+12x^87+6x^90+2x^91+1x^92+2x^93

The gray image is a code over GF(2) with n=584, k=15 and d=260.
This code was found by Heurico 1.16 in 15.6 seconds.