The generator matrix

 1  0  1  1  1 10  1  1  4  1  6  1  1  1  1  2  1  1  1  1  8 12  8  1 12  2  4  1  1  1  1  2 12  4  2 10  1
 0  1  1  4 11  1 10  5  1  6  1  7 13  3  8  1  7 13  2  2  1  1  1 12  1  0  1  9  9 12  5  1  1  2  4  1  0
 0  0  2  2  4 14 14  0 10  0  8  2  4  6 12  2 12  2 10  4  2  0  4  6 14  6  4  8  6  6  6  2  6  2  2 14  8
 0  0  0  8  0  0  0  8  8  0  0  8  8  8  8  0  8  0  8  0  8  0  8  0  0  0  8  8  8  8  8  0  8  8  8  0  8
 0  0  0  0  8  0  0  8  0  8  8  8  8  8  0  8  0  0  8  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  8  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  8  0  8  0  8  8  8  8  0  0  0  0  8  0  8  8  8  0  8  0  0  8
 0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  0  8  8  8  0  0  0  0  8  0  8  0  8  0  0  8  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+47x^30+220x^31+480x^32+1060x^33+2075x^34+4284x^35+4560x^36+7366x^37+4629x^38+4232x^39+2045x^40+1018x^41+393x^42+220x^43+75x^44+26x^45+24x^46+4x^47+6x^48+2x^49+1x^52

The gray image is a code over GF(2) with n=296, k=15 and d=120.
This code was found by Heurico 1.16 in 6.02 seconds.