The generator matrix

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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+154x^33+459x^34+898x^35+1519x^36+2218x^37+3616x^38+4910x^39+5171x^40+4944x^41+3745x^42+2316x^43+1427x^44+742x^45+355x^46+158x^47+72x^48+34x^49+16x^50+6x^51+2x^52+4x^53+1x^54

The gray image is a code over GF(2) with n=320, k=15 and d=132.
This code was found by Heurico 1.16 in 9.66 seconds.