The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  2  1 12  8  2  4  8  1  0  1 12  2  2  2  1  1  1  1  2  1  0  2  0  1  2  1  1  1  8  2  2  4  1  1 12  2  2  1  1  4  1
 0  2  0  0  0  0  0  0  0 10  6 10 14 10  2  2  8  4 12  8  6  6 10  2  4  6  4  2 10 12  4 14  0 12  0 10 14  2  0  2  2  2 14  8 10 12  4 10  2  2  4 12  8  2  6  4 14 10  4  6 10  0  4  8  2  0  4  4  6  4  6  0  8  6  0  2  2  4 12 12  6  6  2  8
 0  0  2  0  0  8 10  6  6  2  6  0  2  0  8 14 10  0  8  2 14 12  4  8  2  8  0  6  2 10 12  6  6 12  8 12  6  6  4 10 14  8  2  2 12  2  4  0 12  6 12  2  6  8  2  6  2  6 14  6  4  4  8  2  8  2 10 12 12 14  8  2 10  6  2  8 12  2  6  8 10  6  6  0
 0  0  0  2  0 10 10 10  8  2 14  8  4 10 10  8 14 10  8 12  2  0 14  0 14  6  2  8  2 12 12  4  4  8  6  4  0  4  4 14 14 14  0  2  6 10  2  6  0 10 12 12 10  4 10  8 14  8  4 10  0  0  0  4 12 12  6 10  6  8  2 14 12  6  6 12 12 10 14 10  8  0  4  0
 0  0  0  0  2  2  8 10  2 14  8 14  2  2  4 12 12 10  2  6 10  8 12  2 14  2 12 10  4  4  0  4  0  8  6  6  4 14 10  8 12 10  8  4 10  6 12  8  0  8  4  8  0  4  6  2  2  8  6  6  4 14 12  2 10  8  8  2  4 14  4  2  2  0  4 14  0  0 14  0  4 14  0  8

generates a code of length 84 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+146x^74+486x^75+894x^76+1322x^77+1731x^78+2672x^79+3530x^80+4844x^81+6354x^82+7042x^83+7733x^84+7296x^85+6224x^86+4776x^87+3439x^88+2546x^89+1634x^90+1170x^91+653x^92+432x^93+301x^94+136x^95+96x^96+34x^97+17x^98+6x^99+4x^100+6x^101+8x^102+2x^104+1x^114

The gray image is a code over GF(2) with n=672, k=16 and d=296.
This code was found by Heurico 1.16 in 94.5 seconds.