The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  6  1  1 12  1  1  0  1  1 10  6  1  1  1 10  1  1  0  1  1  1  0  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  1  6  5  1 12 15  1  9 10  1  1  0  6 10  1  5 12  2  3  0  0  1  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  0  0  8  0  0  8  0  8  0  8  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  0  0  8  0  8  8  0  8  8  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  0  0  8  8  0  8  0  8  8  8  8  0  8  8  8  0  0  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  0  8  8  8  0  8  8  0  0  8  0  0  8  0  0  0  8  8  0  0  8  8  0
 0  0  0  0  0  0  8  0  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0  8  0  8  8  8  0  0  8  8  0  0  8  0
 0  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  8  8  0  0  0  8  8  8  0  8  0  0  8  8  0  0  0

generates a code of length 38 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+19x^30+42x^31+120x^32+220x^33+252x^34+1680x^35+921x^36+4204x^37+1499x^38+4196x^39+912x^40+1684x^41+246x^42+224x^43+76x^44+36x^45+23x^46+2x^47+15x^48+6x^50+3x^52+3x^54

The gray image is a code over GF(2) with n=304, k=14 and d=120.
This code was found by Heurico 1.16 in 1.62 seconds.