The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+113x^76+398x^77+648x^78+1002x^79+1644x^80+1670x^81+2248x^82+1548x^83+2029x^84+1506x^85+1439x^86+818x^87+619x^88+310x^89+133x^90+96x^91+59x^92+50x^93+5x^94+24x^95+12x^96+6x^98+2x^100+2x^101+1x^108+1x^114

The gray image is a code over GF(2) with n=664, k=14 and d=304.
This code was found by Heurico 1.16 in 4.86 seconds.