The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+30x^38+66x^39+104x^40+142x^41+206x^42+388x^43+700x^44+906x^45+685x^46+360x^47+185x^48+106x^49+90x^50+44x^51+28x^52+22x^53+11x^54+6x^55+6x^56+8x^57+1x^62+1x^70

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 0.317 seconds.