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  2  0  1  1  2 12  1  1  1  1  1  1  1  1  1  2  0  1  1  1  1  1  2  1  1  1  1  1  1  1  1 12  1  2  0  1  2  1  1  2  1  1  1 12  0  1  1  2  1  1  2 12  2  1  2 12  1  2  1  0  2  2  1
 0  2 12  6  0  6 12 10  0  6 12 10  4 10  0  6 14  8 12 10  0  6 12 10  6  2 12  8 10  2  6 10  4 10  6  0  0  6 12  6  2 12 10 14 10  4 10  8  6 14 12  4  8 12  0  2  2  6  2 12 10  8  8 10 10 14  4  2  2 10  6  6  4  4  6  2 10  0 10  2  2  6  6  2  6  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  8  8  8  8  8  8  8  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  0  0  8  8  8  8  0  8  0  8  8  0  8  0  8  0  0  0  8  0  0  0  0  8  8  8  0  0  0  0  0  0  8  8  0  0  0  0
 0  0  0  8  0  0  0  0  0  8  0  0  0  0  0  8  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  8  0  8  8  0  8  8  0  8  0  0  8  8  0  0  8  0  8  8  8  8  8  0  8  8  8  8  0  0  8  0  8  8  0  0  0  0  8  8  0  0  8  0  0  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  8  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  0  0  8  8  0  0  8  8  0  8  8  0  8  0  8  8  8  0  8  0  0  8  8  0  0  0  0  8  0  0  0  8  8  0  0  8  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  0  8  8  0  0  8  0  8  0  8  8  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  8  8  8  8  8  0  0  0  8  8  8  0  0  0  8  8  0  8  8  8  0  0  0  0  8  8  8  8  0  0  8  8  8  0  8  8  8  0  0  8  0  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  8  0  0  8  0  8  0  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  8  0  8  0  8  0  8  8  0  8  8  0  0  8  0  0  0  8  8  8  8  8  8  0  8  8  8  8  8  8  0  8  0  8  0  0  0  0  8  8  0  0  0  0  0  8  8  8
 0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  8  0  8  0  8  0  8  8  8  8  8  0  0  0  8  8  8  0  0  8  0  8  0  8  0  0  8  8  8  0  0  8  8  0  0  0  8  8  8  0  8  0  0  8  0  0  8  0  0  8  0  0  0  0  0  0  8  8  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  0  0  0  8  0  0  8  0  0  8  0  0  8  8  0  8  8  0  0  8  0  0  0  8  8  8  0  0  8  0  0  0  0  8  0  8  0  8  0  0  8  8  8  0  8  8  0  8  8  8  0  8  0  0  0  8  0  8  8  0  0  8  0  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+46x^76+36x^77+134x^78+110x^79+345x^80+252x^81+802x^82+536x^83+1711x^84+980x^85+2684x^86+1280x^87+2596x^88+1012x^89+1642x^90+516x^91+776x^92+248x^93+320x^94+114x^95+116x^96+32x^97+27x^98+4x^99+23x^100+10x^102+14x^104+8x^106+4x^108+3x^110+1x^114+1x^126

The gray image is a code over GF(2) with n=696, k=14 and d=304.
This code was found by Heurico 1.16 in 9.41 seconds.