The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^74+172x^75+274x^76+716x^77+931x^78+1490x^79+1651x^80+2046x^81+1905x^82+1964x^83+1669x^84+1446x^85+911x^86+688x^87+222x^88+126x^89+22x^90+20x^91+11x^92+14x^93+16x^94+6x^95+9x^96+4x^97+6x^98+12x^99+2x^100+1x^104+2x^110

The gray image is a code over GF(2) with n=656, k=14 and d=296.
This code was found by Heurico 1.16 in 5.22 seconds.