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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+413x^78+40x^79+469x^80+360x^81+771x^82+240x^83+653x^84+336x^85+415x^86+40x^87+150x^88+8x^89+131x^90+34x^92+24x^94+4x^96+6x^98+1x^132

The gray image is a code over GF(2) with n=664, k=12 and d=312.
This code was found by Heurico 1.16 in 37.4 seconds.