The generator matrix

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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+57x^64+86x^65+238x^66+378x^67+722x^68+1240x^69+2025x^70+3426x^71+5036x^72+6844x^73+8162x^74+8930x^75+8742x^76+6704x^77+4834x^78+3590x^79+1963x^80+1110x^81+618x^82+270x^83+202x^84+120x^85+98x^86+38x^87+38x^88+24x^89+22x^90+6x^91+6x^92+2x^94+2x^95+1x^96+1x^102

The gray image is a code over GF(2) with n=600, k=16 and d=256.
This code was found by Heurico 1.16 in 64.5 seconds.