The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^40+104x^42+64x^43+252x^44+448x^45+176x^46+448x^47+269x^48+64x^49+104x^50+32x^52+11x^56+4x^60+2x^64+1x^72

The gray image is a code over GF(2) with n=368, k=11 and d=160.
This code was found by Heurico 1.16 in 0.135 seconds.