The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  1  1  1  1  1 12  2  0  1  2  1  1  1 12  2  0  1  2  1  1  1  1  1  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  6  2  0 10  6 12 10 12  6  2  6  2  0 10 10  8 12  2  6  2 10  6  0  0  6 10  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  8  0  8  0  8  8  0  8  8  8  0  8  8  0  8  8  8  8  0  8  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  0  8  0  8  8  8  8  8  8  8  8  0  0  0  8  0  8  0  0  0  8  8  0  8
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  0  0  8  8  8  0  8  8  0  0  8  0  0  8  8  8  8  8  0  8  0  8
 0  0  0  0  0  0  8  0  0  0  0  0  8  8  0  8  0  0  0  0  0  8  8  0  8  8  0  8  8  0  8  8  0  0  8  0  8  8  8  8  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  0  8  0  8  8  8  8  0  8  8  8  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  8
 0  0  0  0  0  0  0  0  8  0  8  0  8  0  8  8  0  0  8  8  8  0  0  8  0  8  0  0  0  0  8  8  0  0  8  8  0  0  0  8  8
 0  0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  8  8  0  0  8  0  0  8  0  8  8  8  0  0  0  8  0  0  8  0  8  8  0  0  0

generates a code of length 41 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+44x^30+123x^32+290x^34+96x^35+675x^36+832x^37+2153x^38+4512x^39+3896x^40+7552x^41+3878x^42+4512x^43+2147x^44+832x^45+683x^46+96x^47+280x^48+102x^50+41x^52+15x^54+4x^56+2x^58+1x^60+1x^62

The gray image is a code over GF(2) with n=328, k=15 and d=120.
This code was found by Heurico 1.16 in 10.6 seconds.