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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+100x^67+352x^68+858x^69+1140x^70+1930x^71+2551x^72+3420x^73+4793x^74+6302x^75+7389x^76+7706x^77+7909x^78+6176x^79+4871x^80+3642x^81+2317x^82+1616x^83+904x^84+684x^85+383x^86+232x^87+114x^88+68x^89+34x^90+26x^91+7x^92+4x^93+2x^95+2x^96+2x^97+1x^104

The gray image is a code over GF(2) with n=616, k=16 and d=268.
This code was found by Heurico 1.16 in 84.8 seconds.