The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+3x^44+50x^45+3x^46+4x^49+1x^50+2x^57

The gray image is a code over GF(2) with n=360, k=6 and d=176.
This code was found by Heurico 1.16 in 0.0301 seconds.