The generator matrix

 1  0  1  1  1  4  1  1  6  1  1  6  1  1  6  1  1  1  1 10  0  2  2  2  2  1  1  4 12  2 10  2  2  1  1  2  1
 0  1  1  0  3  1  3  0  1  9  4  1  7  9  1 14  2  6  1  1  1  0  1  8  1  0 13  2  2  1  1  1 10 10 13  8  8
 0  0  2  0  2  8  4 10  2  4  2 10 10  0  4 12  8  6 14 14  2  2  8 10 10  6  0  8 10  8 10  8 10  8 12  6  4
 0  0  0  2  2 10 12 10 12 10  8  2  0  0  0  4  6  2  2  4 14  8  6  2 14  8  6  2 10 14 12 12  8  2  8 10 12
 0  0  0  0  4  0  8  8  8  8  8  8  0  8 12 12  4 12  8  4 12 12  4  4  0 12 12  8  8  8 12 12  4 12  0  8 12

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

Homogenous weight enumerator: w(x)=1x^0+107x^30+508x^31+1178x^32+2516x^33+4506x^34+7880x^35+9537x^36+12412x^37+10447x^38+8094x^39+4257x^40+2428x^41+979x^42+398x^43+191x^44+52x^45+22x^46+14x^47+4x^48+3x^50+2x^51

The gray image is a code over GF(2) with n=296, k=16 and d=120.
This code was found by Heurico 1.16 in 23.1 seconds.