The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^69+299x^70+796x^71+1157x^72+1440x^73+1667x^74+1810x^75+2076x^76+2040x^77+1793x^78+1224x^79+718x^80+524x^81+325x^82+186x^83+112x^84+68x^85+20x^86+16x^87+15x^88+8x^89+4x^90+6x^93+4x^94+1x^96

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 4.44 seconds.