The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+108x^30+378x^31+1009x^32+1300x^33+2789x^34+4030x^35+7730x^36+9052x^37+12499x^38+9298x^39+7980x^40+3996x^41+2643x^42+1290x^43+866x^44+308x^45+161x^46+44x^47+46x^48+8x^50

The gray image is a code over GF(2) with n=304, k=16 and d=120.
This code was found by Heurico 1.16 in 33.7 seconds.