The generator matrix

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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+170x^73+238x^74+666x^75+792x^76+898x^77+961x^78+914x^79+928x^80+1010x^81+608x^82+462x^83+244x^84+180x^85+37x^86+26x^87+11x^88+10x^89+11x^90+8x^91+5x^92+2x^93+4x^95+2x^96+2x^97+1x^106+1x^108

The gray image is a code over GF(2) with n=632, k=13 and d=292.
This code was found by Heurico 1.16 in 3.04 seconds.