The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+42x^32+4x^33+232x^34+44x^35+671x^36+812x^37+2978x^38+3036x^39+6342x^40+4516x^41+6338x^42+3012x^43+2936x^44+804x^45+640x^46+52x^47+229x^48+8x^49+46x^50+17x^52+4x^54+2x^56+2x^62

The gray image is a code over GF(2) with n=328, k=15 and d=128.
This code was found by Heurico 1.16 in 7.05 seconds.