The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  2  1  1  1  4  2  1  4  1  1  1  2  1
 0 12  0  4  0  0  4  4  8  8  4 12 12 12  0  8  4  8  0  4  0  4  0 12  0  4  8 12  8  4  4  4  0  0 12 12  8  8
 0  0 12  4  0 12 12  0  8  4  4  0  8  4  8 12  4  4  4  0  8 12  8  8  4  4 12  4  4 12 12  4 12  8  8  8  4  8
 0  0  0  8  0  0  8  0  0  0  0  8  8  0  8  8  0  8  8  8  8  8  0  8  0  8  8  8  8  0  0  0  0  8  0  0  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  0  8  0  0  0  0  8  8  0  0
 0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  8  0  8  8  8  0  0  8  8  0  0  0  8  0  0  0  8  0  0  8

generates a code of length 38 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+48x^33+84x^34+96x^35+158x^36+384x^37+536x^38+384x^39+158x^40+64x^41+84x^42+32x^43+2x^44+16x^49+1x^64

The gray image is a code over GF(2) with n=304, k=11 and d=132.
This code was found by Heurico 1.16 in 13.8 seconds.