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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+150x^90+356x^91+359x^92+468x^93+640x^94+928x^95+1086x^96+868x^97+868x^98+624x^99+467x^100+468x^101+244x^102+224x^103+151x^104+108x^105+64x^106+44x^107+44x^108+8x^109+16x^110+2x^112+2x^114+1x^116+1x^148

The gray image is a code over GF(2) with n=776, k=13 and d=360.
This code was found by Heurico 1.16 in 3.2 seconds.