The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^30+176x^31+339x^32+744x^33+1223x^34+1790x^35+2504x^36+2774x^37+2519x^38+1854x^39+1170x^40+670x^41+279x^42+138x^43+76x^44+34x^45+23x^46+10x^47+6x^48+2x^49+2x^50

The gray image is a code over GF(2) with n=296, k=14 and d=120.
This code was found by Heurico 1.16 in 2.41 seconds.