The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  0  1  1 10  1  1 12  1 12  1  1  1 12  1  2  4  1  1
 0  1  3  6  5  1 12 15  1  9 10  1  0  3  1  6  5  1  0  3  1 10  9  1 12 15  1  5  2  6 10  9  1 10 10  0  9  0
 0  0  8  0  0  0  0  0  8  8  0  8  8  8  0  8  8  0  8  0  8  8  0  8  0  0  0  8  8  0  8  0  0  8  0  8  8  0
 0  0  0  8  0  0  8  0  8  8  8  0  8  8  0  0  0  8  0  8  8  8  0  0  0  8  8  0  8  0  0  0  8  0  8  0  8  0
 0  0  0  0  8  0  8  8  0  0  8  0  0  8  8  0  8  8  8  0  8  8  0  8  0  8  0  0  0  8  8  0  0  0  8  0  8  8
 0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  0  0  8  8  8  0  8  8  0  8  0  0  8  0  8  0  0  8  0  0

generates a code of length 38 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+62x^33+122x^34+436x^35+298x^36+920x^37+475x^38+912x^39+253x^40+416x^41+101x^42+60x^43+21x^44+8x^45+5x^46+2x^48+2x^49+1x^50+1x^52

The gray image is a code over GF(2) with n=304, k=12 and d=132.
This code was found by Heurico 1.16 in 0.251 seconds.