The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+95x^38+8x^39+146x^40+48x^41+348x^42+120x^43+1230x^44+160x^45+1203x^46+120x^47+340x^48+48x^49+118x^50+8x^51+63x^52+19x^54+8x^56+6x^58+2x^60+3x^62+1x^64+1x^68

The gray image is a code over GF(2) with n=360, k=12 and d=152.
This code was found by Heurico 1.16 in 30.3 seconds.