The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+76x^69+332x^70+572x^71+1208x^72+1302x^73+1910x^74+1880x^75+2257x^76+1802x^77+1782x^78+1152x^79+1036x^80+434x^81+306x^82+118x^83+86x^84+56x^85+22x^86+18x^87+17x^88+6x^89+2x^91+1x^92+2x^93+2x^95+1x^96+2x^97+1x^104

The gray image is a code over GF(2) with n=608, k=14 and d=276.
This code was found by Heurico 1.16 in 4.24 seconds.