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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+75x^88+100x^89+135x^90+260x^91+281x^92+464x^93+756x^94+480x^95+1327x^96+456x^97+1336x^98+504x^99+744x^100+432x^101+274x^102+288x^103+102x^104+84x^105+45x^106+4x^107+20x^108+6x^110+6x^112+4x^114+1x^116+4x^118+1x^120+1x^124+1x^148

The gray image is a code over GF(2) with n=776, k=13 and d=352.
This code was found by Heurico 1.16 in 3.27 seconds.