The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1 12  6  1  1 10  6  1  1  1  1  1  0  1  1  0  1  0  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  5  1  1 15  9  1  1 12 10  5  3  0  1  5  6  1  3  1  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  0  8  0  0  8  8  8  8  0  8  8  0  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  0  0  0  8  8  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  0  8  0  0  8  0  8  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  0  8  8  8  0  0  0  0  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  8  0  0  8  0  8  8  8  0  0  8  8  8  8  8  0  0  0  8  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  0  8  8  8  0  0  8  8  0  8  8  0  0  0  0  8  0  8  0  8  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  8  8  8  0  0  8  0  0  8  8  8  0  8  0  8  8  0  0
 0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  8  0  0  8  0  0  8  0  8  8  8  0  8  8  8  0  8  0  8

generates a code of length 37 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+28x^26+83x^28+44x^29+126x^30+320x^31+633x^32+1744x^33+2770x^34+10944x^35+6610x^36+18952x^37+6604x^38+10944x^39+2760x^40+1744x^41+640x^42+320x^43+116x^44+44x^45+54x^46+30x^48+18x^50+6x^52+1x^60

The gray image is a code over GF(2) with n=296, k=16 and d=104.
This code was found by Heurico 1.16 in 19.4 seconds.