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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+112x^41+161x^42+204x^43+349x^44+480x^45+291x^46+192x^47+123x^48+68x^49+27x^50+28x^51+7x^52+4x^53+1x^78

The gray image is a code over GF(2) with n=360, k=11 and d=164.
This code was found by Heurico 1.16 in 0.131 seconds.