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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+51x^36+130x^37+212x^38+248x^39+396x^40+706x^41+1003x^42+1748x^43+2443x^44+2546x^45+2452x^46+1746x^47+1011x^48+730x^49+368x^50+194x^51+159x^52+100x^53+54x^54+30x^55+32x^56+12x^57+5x^58+2x^59+3x^60+2x^62

The gray image is a code over GF(2) with n=360, k=14 and d=144.
This code was found by Heurico 1.16 in 4.59 seconds.