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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+45x^38+71x^40+40x^42+80x^44+1536x^45+135x^46+86x^48+8x^50+27x^54+17x^56+1x^62+1x^80

The gray image is a code over GF(2) with n=360, k=11 and d=152.
This code was found by Heurico 1.16 in 0.96 seconds.