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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+126x^75+469x^76+666x^77+1132x^78+1306x^79+1831x^80+2554x^81+2999x^82+3508x^83+3747x^84+3850x^85+2899x^86+2434x^87+1765x^88+1134x^89+938x^90+472x^91+402x^92+204x^93+138x^94+84x^95+36x^96+40x^97+15x^98+6x^99+2x^100+7x^102+2x^104+1x^112

The gray image is a code over GF(2) with n=672, k=15 and d=300.
This code was found by Heurico 1.16 in 25.8 seconds.