The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+24x^45+78x^46+15x^48+8x^49+2x^54

The gray image is a code over GF(2) with n=368, k=7 and d=180.
This code was found by Heurico 1.16 in 0.0525 seconds.