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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+64x^34+44x^35+208x^36+190x^37+345x^38+354x^39+756x^40+588x^41+2518x^42+2632x^43+6361x^44+4604x^45+6322x^46+2756x^47+2557x^48+568x^49+790x^50+316x^51+287x^52+182x^53+173x^54+42x^55+54x^56+12x^57+26x^58+15x^60+2x^66+1x^68

The gray image is a code over GF(2) with n=360, k=15 and d=136.
This code was found by Heurico 1.16 in 16.1 seconds.