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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+54x^64+116x^65+234x^66+428x^67+703x^68+952x^69+1310x^70+1594x^71+1833x^72+2122x^73+1833x^74+1620x^75+1302x^76+816x^77+611x^78+356x^79+170x^80+102x^81+89x^82+40x^83+26x^84+14x^85+13x^86+26x^87+6x^88+4x^89+2x^90+1x^92+2x^93+2x^94+2x^98

The gray image is a code over GF(2) with n=584, k=14 and d=256.
This code was found by Heurico 1.16 in 7.22 seconds.