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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+32x^40+86x^42+140x^44+32x^45+346x^46+128x^47+1193x^48+192x^49+1207x^50+128x^51+346x^52+32x^53+119x^54+58x^56+26x^58+18x^60+6x^62+3x^64+1x^66+1x^70+1x^80

The gray image is a code over GF(2) with n=392, k=12 and d=160.
This code was found by Heurico 1.16 in 0.404 seconds.