The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+11x^42+76x^43+21x^44+304x^45+17x^46+64x^47+9x^48+3x^50+4x^51+1x^52+1x^78

The gray image is a code over GF(2) with n=360, k=9 and d=168.
This code was found by Heurico 1.16 in 0.0542 seconds.