The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  1  1  1  1  1  1  1  8  1  2  1  4  1  1  1  2  2  0  2  1  1  1  1  0  1  1  8  1  1  1  1  2  1  4  2  4  2  4  1  2  1  2  1  2  1  1
 0  2  0  6  0  6  4  2  4 14  2 12  0  6  6 12 10  2  8  4  0  2  4  6 14  2  6 12 14  0  2  8 14  6  2 12 14  8  2  4 14  2  2  2  2 14  8  2  6  0  2  2 10  2 10 14  6  8  2  2  8 10 12  6  0  4 10 12  4  0 12  8  0
 0  0 12  0  0  0  4  0  0  0  8  8  4 12  4  4  4  4  0  8  4 12 12 12  0  4  4  8 12  4  8  8  0  4  0  0  4 12  0  4  4 12  8  4  8 12  0  8  0  0 12  8  4  4  8  8  4  8  4  0  4  0  4 12  0 12 12  0 12  4 12  4  0
 0  0  0 12  0  0  0  4  0  8  0  8  8  8  0  0  8  8  4  4 12 12  4 12  0  0  4 12 12  4  4  4  4  4 12  4 12  4  4  0 12  0  8 12  4  8  8 12  0  4  4  8 12  4  0  4  0  8  8  8  0  4  0  4 12  8  8 12  0 12  0 12  0
 0  0  0  0 12  0  0  8  4 12 12  8  4  4  8  4 12  0  8  8  8  0  0  0  4 12  0  4 12 12 12  4  4  4  0 12  4 12  8  8 12  0  4 12  8  8  4  0  0  0  8 12  4  4 12  4 12  8  0  8  8  4  8  8  0  8  8  0  4 12  8 12  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  8  0  8  8  8  0  8  0  8  0  0  0  8  8  8  0  8  0  0  8  0  0  0  8  8  0  8  0  8  8  8  8  8  0  0  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  0  0  8  8  0  0  8  8  8  8  8  0  8  0  8  0  8  0  0  8  8  0  8  8  0  0  8  8  0  0  8  8  8  0  8  0  8  0  8  0  0  8  0  0  8  8  0  0  8  0  0  0  8  8  0  0  0

generates a code of length 73 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+64x^62+16x^63+349x^64+164x^65+750x^66+544x^67+1298x^68+1424x^69+2592x^70+2952x^71+4270x^72+3972x^73+4220x^74+3208x^75+2592x^76+1436x^77+1144x^78+424x^79+587x^80+168x^81+314x^82+24x^83+156x^84+4x^85+64x^86+23x^88+4x^90+2x^92+1x^96+1x^104

The gray image is a code over GF(2) with n=584, k=15 and d=248.
This code was found by Heurico 1.16 in 25.9 seconds.