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  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  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  1  1  4  2  1  1  2  1
 0 12  0  0  0  4 12  4  0 12  0  4  0  0  4 12  0  0  0  0  4 12 12  4  0  0  8 12  8 12  4  4  4  8 12 12 12  8  0  0  8 12  4  0  0  4  0 12  8 12  0  8  4  4  8  4  4  8  4 12 12  8  8  8  8  8  4  8  4 12  0  8  8  0  0  8  8  8 12 12  8  0  4  4  4 12  8 12 12 12  0  0 12 12  8  8  0 12
 0  0 12  0  4  4 12  0  0  0  0  0  4 12  4 12  0  0  4 12  4  0 12  0  0 12  0  8 12 12 12  8  8  4  0  4  4  8  4  8  4  4  8  4  8 12  8  8 12  8 12  8  0  8 12 12  4  0 12  8  8 12  0  8 12 12  4  0 12  0  8  4  8  4  4  4  4  0 12 12  0  8  8 12  4  0  4  4 12  8  8 12 12 12  0  0  4  0
 0  0  0 12  4  0 12  4  0  0 12  4  4  0  0 12  8  4 12  8  8  8  4 12  8  8  4  0 12  8  4 12  8  0 12 12  8  4  8  0 12  4  4  0  8  8 12  0  0 12 12 12  8  4  4  0  4  0  0  4  8  0  8 12  8 12  4 12  4  4  4  4  0  8 12  8  8  4  0  0  0  0  8  8 12 12  4  8  4  8  8 12 12  4  8 12  4  8
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  8  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  0  0  8  8  8  0  0  8  0  0  8  8  8  0  8  8  8  0  0  8  8  8  0  8  0  0  8  0  0  8  8  0

generates a code of length 98 over Z16 who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+44x^93+86x^94+76x^95+97x^96+406x^97+689x^98+410x^99+88x^100+40x^101+33x^102+24x^103+5x^104+14x^105+19x^106+2x^107+8x^109+5x^110+1x^184

The gray image is a code over GF(2) with n=784, k=11 and d=372.
This code was found by Heurico 1.16 in 31.5 seconds.