The generator matrix

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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+184x^68+168x^69+752x^70+1100x^71+2106x^72+2564x^73+3264x^74+4180x^75+4475x^76+4140x^77+3198x^78+2460x^79+2026x^80+996x^81+558x^82+188x^83+192x^84+60x^85+84x^86+8x^87+28x^88+8x^89+14x^90+7x^92+2x^94+3x^96+2x^100

The gray image is a code over GF(2) with n=608, k=15 and d=272.
This code was found by Heurico 1.16 in 16.3 seconds.