The generator matrix

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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+161x^76+48x^77+370x^78+312x^79+954x^80+1492x^81+2012x^82+4168x^83+4108x^84+8164x^85+5752x^86+10384x^87+5916x^88+8376x^89+4016x^90+4272x^91+1936x^92+1320x^93+762x^94+312x^95+351x^96+52x^97+100x^98+8x^99+88x^100+4x^101+44x^102+40x^104+11x^108+2x^112

The gray image is a code over GF(2) with n=696, k=16 and d=304.
This code was found by Heurico 1.16 in 79.9 seconds.