The generator matrix

 1  0  0  1  1  1  2  1  1  1  4  1  2 14 10  1  1  4 12  1  1 14  6  1  1  4  1  1  6  1  8  1  1  2  0  1  8  1  0  1  8  1  1  6  1  1 12 12  1  1  1 10  6  1  1  1  1  1  1  4 14  1  1  1  1  1  1  1  1  1  0  1  1  1  1 14
 0  1  0  2  1  3  1  8  1  2  1 15  1  0  1 14  8  1  6  1  9  1 14  7  6  1  4 11  1  5  0  6 12 14  1  9  1 13  1  9 10 15 14  1  2 12 14  1 12  9  7 14  1  2  0  4 11 10  3  1  1  8  1  1 15 13 10  5  2 12  1  6 14  5  1  1
 0  0  1  1  3  0  5  7 14  6  9  5  0  1 15 12 13  2  1  1 12  6  1  6  3 15  2 11 10 14  1  5  8  1  7  9  6 11  1  0  1 10 13  0  4 13  1  9 13 14 12  1  7  6 15 14  5  2  3  8 10  4  4 13  4 11 13  6  1 14  3  3  1  6  4  4
 0  0  0  4  0  0 12  8 12  4  8  4  4  4 12 12 12  0  0  8  8  0 12  8 12 12  0 12 12 12  8  0  4  0 12  8 12  4 12 12  0  4  4  8  4  8  8  0  4  0  4  4  0  0  4  8  8  0  4 12 12  8 12 12  8 12  0  0  0  4 12  4  4  0  4 12
 0  0  0  0  4  8  8  8  0  8  0 12  8  0  8  8  0  0  8  8  0 12 12 12  4 12  0  0 12  4  4 12  4  0  4 12 12  4  0  4 12  0  8 12 12  4 12 12 12  8  8  0  4 12  8  0  8  4  4  4  0  4  0  8 12  0  8  0  4  0  8  0  4 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+129x^68+662x^69+1378x^70+2660x^71+3581x^72+5644x^73+6492x^74+8326x^75+7731x^76+8904x^77+6473x^78+5482x^79+3455x^80+2320x^81+1142x^82+634x^83+245x^84+140x^85+55x^86+26x^87+20x^88+8x^89+4x^90+8x^91+5x^92+2x^93+6x^94+1x^96+2x^102

The gray image is a code over GF(2) with n=608, k=16 and d=272.
This code was found by Heurico 1.16 in 48.3 seconds.