The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+41x^64+24x^65+92x^66+72x^67+193x^68+430x^69+543x^70+1120x^71+1921x^72+3284x^73+5195x^74+6914x^75+8490x^76+9036x^77+8372x^78+6976x^79+5108x^80+3280x^81+2004x^82+1180x^83+528x^84+310x^85+116x^86+112x^87+54x^88+20x^89+32x^90+10x^91+30x^92+24x^94+10x^96+4x^98+7x^100+1x^102+1x^104+1x^106

The gray image is a code over GF(2) with n=616, k=16 and d=256.
This code was found by Heurico 1.16 in 64.5 seconds.