The generator matrix

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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+88x^72+312x^73+600x^74+1184x^75+1520x^76+1548x^77+2271x^78+1750x^79+2091x^80+1520x^81+1451x^82+988x^83+504x^84+250x^85+103x^86+62x^87+38x^88+44x^89+18x^90+16x^91+11x^92+6x^93+2x^94+2x^96+2x^98+1x^106+1x^108

The gray image is a code over GF(2) with n=632, k=14 and d=288.
This code was found by Heurico 1.16 in 4.71 seconds.