The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+266x^78+248x^79+726x^80+560x^81+1127x^82+696x^83+957x^84+768x^85+1133x^86+584x^87+634x^88+208x^89+197x^90+8x^91+47x^92+21x^94+1x^96+2x^102+6x^110+1x^112+1x^120

The gray image is a code over GF(2) with n=672, k=13 and d=312.
This code was found by Heurico 1.16 in 34 seconds.