The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+34x^73+128x^74+238x^75+477x^76+800x^77+1368x^78+2148x^79+3566x^80+5100x^81+6363x^82+8294x^83+8969x^84+7934x^85+6543x^86+4924x^87+3493x^88+2266x^89+1246x^90+674x^91+377x^92+208x^93+113x^94+88x^95+64x^96+32x^97+39x^98+18x^99+12x^100+10x^101+4x^102+3x^106+1x^108+1x^114

The gray image is a code over GF(2) with n=672, k=16 and d=292.
This code was found by Heurico 1.16 in 75 seconds.