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  0  2  1  1  1  0  1  2  1  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  6  2  6  0 10  2 12 10  6  6  0 12 12  0 10  2 10  0  6 10  2 14  6  6  6  0
 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  0  8  8  8  0  8  8  0  8  8  8  0  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  0  8  0  8  0  0  0  8  0  8  0  0  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  8  0  8  8  8  0  0  8  8  0  0  0  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  0  8  0  0  0  8  8  0  8  0  8  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  0  8  8  0  8  0  8  8  0  0  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  0  8  0  8  0  8  8  8  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+24x^30+32x^31+109x^32+88x^33+265x^34+536x^35+796x^36+1648x^37+1231x^38+1648x^39+783x^40+536x^41+241x^42+88x^43+82x^44+32x^45+24x^46+18x^48+5x^50+2x^52+1x^54+1x^56+1x^58

The gray image is a code over GF(2) with n=304, k=13 and d=120.
This code was found by Heurico 1.16 in 0.677 seconds.