The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^32+54x^33+146x^34+340x^35+368x^36+898x^37+473x^38+890x^39+339x^40+316x^41+136x^42+48x^43+23x^44+10x^45+7x^46+2x^47+4x^48+2x^49+5x^50+1x^52+1x^58

The gray image is a code over GF(2) with n=304, k=12 and d=128.
This code was found by Heurico 1.16 in 0.217 seconds.