The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+62x^40+44x^41+250x^42+140x^43+571x^44+584x^45+832x^46+584x^47+549x^48+140x^49+218x^50+44x^51+52x^52+6x^54+12x^56+4x^58+2x^62+1x^76

The gray image is a code over GF(2) with n=368, k=12 and d=160.
This code was found by Heurico 1.16 in 0.309 seconds.