The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+82x^74+460x^75+941x^76+1322x^77+2187x^78+2520x^79+3565x^80+3346x^81+4344x^82+3414x^83+3548x^84+2304x^85+1870x^86+1206x^87+814x^88+328x^89+216x^90+118x^91+67x^92+54x^93+13x^94+26x^95+8x^96+6x^97+6x^98+2x^102

The gray image is a code over GF(2) with n=656, k=15 and d=296.
This code was found by Heurico 1.16 in 17.1 seconds.