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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+142x^67+337x^68+600x^69+969x^70+1400x^71+2045x^72+2342x^73+3097x^74+3770x^75+3684x^76+3658x^77+3095x^78+2544x^79+1835x^80+1186x^81+838x^82+462x^83+317x^84+182x^85+111x^86+64x^87+23x^88+24x^89+17x^90+2x^91+14x^92+8x^93+1x^94

The gray image is a code over GF(2) with n=608, k=15 and d=268.
This code was found by Heurico 1.16 in 27.8 seconds.