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  2  0  1  1  2  1 12  1  1  2  1  1  0  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1 12  1  2  1  0  1  1  1  1 12  0  1  1  1  2  1  1  1  1 12  1  1  2  0  1 12  1  1  1  0  8  1  0  1  1  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  4 10  0  6 14  8 12 10  0  6 12  6  2 10  2 10  6  2  0  8  6 12  6  2 10  0 12 10  0  4  4 10  2 10 14  6 10  0 12  2 10  6  2  2  6  2 12  6  2  2  0 14  8 10  4 10 14 14  2  8  4  6  2 10  2 14  0 14  2  2  0  2 12 12  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  0  8  0  8  8  0  8  8  8  8  0  8  8  8  8  8  0  8  8  0  8  8  8  0  0  0  0  0  0  8  8  0  0  8  8  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  0  0  8  0  0  8  8  8  0  8  8  8  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  8  8  8  8  8  8  8  0  8  0  8  0  8  8  0  0  8  8  8  0  8  8  0  0  8  0  0  8  8  8  8  8  0  8  8  8  0  0  0  8  8  0  0  8  0  8  8  8  8  0  8  8  0  0  8  0  8  8  0  8  0  0  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  8  0  0  0  8  0  8  8  8  0  0  0  8  0  0  0  8  0  8  8  0  0  0  0  8  8  0  0  8  8  0  0  8  8  0  0  8  0  0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  8  0  0  8  0  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  0  8  8  0  0  8  0  8  8  8  0  8  8  0  8  8  8  8  8  8  0  0  8  0  0  0  0  0  8  8  8  8  0  0  0  8  0  8  0  8  0  0  0  0  8  0  0  8  8  8  0  8  0  0  8  8  8  8  0  0  0  0  8  0  8  0  8  8  0  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  8  0  8  8  8  8  0  8  8  8  0  0  0  0  8  0  8  0  8  0  0  8  8  0  0  8  8  0  8  8  0  8  8  8  8  8  0  0  0  0  8  0  0  0  8  8  8  8  0  0  0  0  8  0  8  8  0  8  8  8  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  8  0  8  8  0  0  0  0  0  8  8  8  8  0  8  8  8  0  8  0  8  0  0  8  8  0  0  8  8  8  0  0  0  8  0  8  0  8  8  0  0  0  0  8  0  0  0  0  8  8  0  0  8  8  8  8  8  0  0  8  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  0  0  0  8  0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  0  0  0  0  8  0  8  0  8  8  0  8  8  0  0  0  8  0  8  8  0  8  8  8  0  8  8  0  0  0  8  0  8  0  0  0  0  0  8  0  8  8  8  0  8  0  8  0  8  8  8  0

generates a code of length 88 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+43x^76+98x^78+44x^79+266x^80+148x^81+475x^82+488x^83+781x^84+1176x^85+1500x^86+2240x^87+1946x^88+2240x^89+1480x^90+1176x^91+759x^92+488x^93+435x^94+148x^95+250x^96+44x^97+84x^98+24x^100+11x^102+11x^104+8x^106+8x^108+3x^110+5x^112+1x^114+1x^116+1x^118+1x^136

The gray image is a code over GF(2) with n=704, k=14 and d=304.
This code was found by Heurico 1.16 in 9.45 seconds.