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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+68x^87+85x^88+110x^89+140x^90+194x^91+254x^92+424x^93+601x^94+764x^95+993x^96+1036x^97+1002x^98+800x^99+605x^100+372x^101+230x^102+140x^103+70x^104+60x^105+41x^106+58x^107+24x^108+36x^109+22x^110+20x^111+10x^112+8x^113+8x^114+4x^115+5x^116+2x^118+2x^121+1x^122+1x^126+1x^152

The gray image is a code over GF(2) with n=776, k=13 and d=348.
This code was found by Heurico 1.16 in 4.04 seconds.