The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+35x^76+34x^77+98x^78+234x^79+222x^80+882x^81+807x^82+2312x^83+1998x^84+4204x^85+3029x^86+5148x^87+3019x^88+4204x^89+1974x^90+2312x^91+769x^92+882x^93+194x^94+234x^95+69x^96+34x^97+17x^98+13x^100+10x^102+7x^104+8x^106+8x^108+4x^110+2x^112+2x^114+1x^116+1x^118

The gray image is a code over GF(2) with n=696, k=15 and d=304.
This code was found by Heurico 1.16 in 20.9 seconds.