The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^32+78x^33+255x^34+476x^35+1269x^36+1670x^37+3067x^38+2756x^39+3056x^40+1670x^41+1247x^42+410x^43+233x^44+82x^45+28x^46+16x^47+15x^48+4x^49+8x^50+6x^51+3x^54

The gray image is a code over GF(2) with n=312, k=14 and d=128.
This code was found by Heurico 1.16 in 1.81 seconds.