The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^32+52x^33+115x^34+196x^35+713x^36+392x^37+1041x^38+392x^39+704x^40+196x^41+111x^42+52x^43+46x^44+6x^46+4x^48+5x^50+1x^52+1x^54+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 0.211 seconds.