The generator matrix

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

generates a code of length 37 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+67x^30+24x^31+201x^32+208x^33+403x^34+1128x^35+1138x^36+1888x^37+1127x^38+1128x^39+389x^40+208x^41+178x^42+24x^43+52x^44+13x^46+8x^48+3x^50+2x^52+1x^54+1x^56

The gray image is a code over GF(2) with n=296, k=13 and d=120.
This code was found by Heurico 1.16 in 22.6 seconds.