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  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  2  2  1  4  1  2  1  1  1  1  2  1  8  0  1  1  2  1  2  4  4  2  1  2  4  1  2  2  1  1  4  1  1  1  2
 0 12  0  4  0  0  4 12  0  0 12 12  0  8 12  8 12  0  4 12 12  0  4  8  8  8 12 12  4  0 12  4  8  4  4  0 12  8  0  4  4  0 12 12  0  8  0  4  4  8  4 12  8  4  4  4  8  8  4  4  4  4 12  4  4  0 12  8  4 12  8 12 12  8  4  8  0
 0  0 12  4  0 12  4  0  0 12 12  8  8 12  4  4  0  8  4  4  0  4  4  8  4  8  0  0  0 12 12  4 12  8 12  8  0  4 12  4 12  4  8  0  4  4  8  4  4  0  8  0  4  0 12  8  0 12 12  8  4 12  0 12  8 12  8 12  8  0 12  8  0  0 12  4  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  8  0  0  0  8  0  8  8  8  8  8  8  0  8  8  8  8  8  8  8  0  8  8  0  8  8  0  8  0  0  8  0  0  0  8  8  0  0  8  0  8  8
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  0  8  8  0  8  0  8  8  0  8  0  8  8  8  8  8  8  0  8  8  8  8  8  0  8  8  0  0  8  8  8  0  0  0  8  0  8  0  0  0  0  8  8  0  0  0  8  0  8  0  8  8  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  8  8  8  0  0  8  0  0  0  8  8  8  0  0  8  8  8  8  8  0  0  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  0  0  0  8  0  8  8  8  0  8  8  0  0  8  8  8  8
 0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0  0  8  8  0  8  8  8  8  8  0  0  0  8  8  8  8  0  0  0  0  8  0  0  0  0  0  8  0  0  0  8  0  8  8  8  0  8  8  0  8  8  8  8  0  8  0  8  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  8  8  0  0  0  8  8  0  8  0  8  8  0  0  0  8  8  8  0  0  8  0  0  0  8  8  0  0  8  8  0  0  0  8  0  0  8  0  8  8  8  8  8  0  8  8  8  8  8  8  8  0  0  8  8  8  8  0  8  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  8  0  8  8  8  0  8  0  0  8  8  8  0  8  0  0  0  8  8  8  0  8  8  0  0  0  0  8  0  8  8  8  0  0  8  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  0  8  8  8  0  8  8  8  8  0  8  8  8  8  0  0  8  0  8  0  8  0  8  0  8  8  0  0  0  0  8  8  0  0  8  8  0  0  0  8  8  0  8  8  8  8  0  0  0  0  0  0  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+136x^64+206x^66+8x^67+569x^68+96x^69+626x^70+200x^71+1222x^72+880x^73+2644x^74+2720x^75+4977x^76+4400x^77+4688x^78+2912x^79+2742x^80+720x^81+1134x^82+280x^83+736x^84+48x^85+346x^86+24x^87+262x^88+80x^90+74x^92+4x^94+21x^96+11x^100+1x^108

The gray image is a code over GF(2) with n=616, k=15 and d=256.
This code was found by Heurico 1.16 in 36 seconds.