The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^33+71x^34+88x^35+191x^36+398x^37+544x^38+392x^39+147x^40+48x^41+38x^42+24x^43+12x^44+16x^45+16x^46+8x^47+2x^49+3x^50+2x^53+1x^60

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 0.171 seconds.