The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+107x^74+108x^75+431x^76+648x^77+1054x^78+2088x^79+2192x^80+4080x^81+3475x^82+4656x^83+3511x^84+3952x^85+2112x^86+2136x^87+931x^88+656x^89+267x^90+100x^91+94x^92+8x^93+60x^94+51x^96+23x^98+18x^100+6x^102+1x^104+1x^108+1x^116

The gray image is a code over GF(2) with n=664, k=15 and d=296.
This code was found by Heurico 1.16 in 19.8 seconds.