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

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

Homogenous weight enumerator: w(x)=1x^0+127x^68+184x^69+562x^70+560x^71+1223x^72+1136x^73+1706x^74+1440x^75+2603x^76+1708x^77+1828x^78+860x^79+995x^80+480x^81+398x^82+200x^83+157x^84+68x^85+72x^86+12x^87+35x^88+8x^89+8x^90+8x^92+2x^94+2x^96+1x^108

The gray image is a code over GF(2) with n=608, k=14 and d=272.
This code was found by Heurico 1.16 in 6.56 seconds.