The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+88x^45+263x^46+278x^47+689x^48+466x^49+754x^50+390x^51+603x^52+176x^53+167x^54+86x^55+44x^56+38x^57+32x^58+14x^59+6x^60+1x^76

The gray image is a code over GF(2) with n=400, k=12 and d=180.
This code was found by Heurico 1.16 in 0.356 seconds.