The generator matrix

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

generates a code of length 39 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+242x^32+1360x^33+3843x^34+9114x^35+18752x^36+30292x^37+44302x^38+46074x^39+44190x^40+31242x^41+18774x^42+8526x^43+3690x^44+1282x^45+310x^46+94x^47+35x^48+14x^49+3x^50+2x^52+2x^53

The gray image is a code over GF(2) with n=312, k=18 and d=128.
This code was found by Heurico 1.16 in 308 seconds.