The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+130x^65+627x^66+1234x^67+2219x^68+3934x^69+5475x^70+7138x^71+7889x^72+8508x^73+7973x^74+7170x^75+5283x^76+3860x^77+2036x^78+1026x^79+559x^80+184x^81+127x^82+68x^83+41x^84+20x^85+17x^86+4x^87+7x^88+2x^89+1x^90+1x^92+2x^93

The gray image is a code over GF(2) with n=584, k=16 and d=260.
This code was found by Heurico 1.16 in 46.3 seconds.