The generator matrix

 1  0  0  0  1  1  1  1  8  1  8  1 10  1  6  6  4  1  1  1 12  1  4 12  1  1  1  1  2  1  1  1  1  0  1  1  6  0
 0  1  0  0  0  8  5 15  1 11  1  7  6 14  1  2  1  8 11 13  1  9  2  1  7 12 10  3  4 11  0  1  9  1  2  7  1  6
 0  0  1  0  1 14  4  2  2  3  5  5  1 15 15  1 11 15  9 13  9  8  1  0  5 13 12  4  1  9  4 10 14  6 13  6  9  1
 0  0  0  1  1  3  7 10  3  9  2  2  5  0  5  6  4  7  5  0 13  5 11 15  3  8 11  8  4 12  2 14  9 13 13  4  7 14
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  0  8  8  0  0  8  0  8  8  0  0  0  8

generates a code of length 38 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+481x^32+1956x^33+5004x^34+8644x^35+15961x^36+20772x^37+25618x^38+20284x^39+16379x^40+9068x^41+4510x^42+1596x^43+607x^44+140x^45+32x^46+4x^47+11x^48+2x^50+2x^54

The gray image is a code over GF(2) with n=304, k=17 and d=128.
This code was found by Heurico 1.16 in 78.1 seconds.