The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+117x^74+492x^75+844x^76+1740x^77+2389x^78+3860x^79+5045x^80+7120x^81+7161x^82+8502x^83+7062x^84+7214x^85+4747x^86+3822x^87+2307x^88+1430x^89+658x^90+412x^91+278x^92+160x^93+80x^94+36x^95+13x^96+14x^97+14x^98+10x^99+2x^100+2x^101+1x^102+2x^103+1x^110

The gray image is a code over GF(2) with n=664, k=16 and d=296.
This code was found by Heurico 1.16 in 65.8 seconds.