The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  8  0  1  1  2  2  1 12  4  1  1 12  2  1  2  4  1 12  0  1  2  0  2
 0  2  0  2  0  0  2  6  4 10  4  6  2  2  8  2  4  0  6  2  2  2 14  0  8 10  4 14  8 14  8 12  0  6  2 10
 0  0  2  2  0  6  2  4  0  2  2  8 10 12  2 12 10  2  0 10  2  6  2  8  2  4  8 12  2  8  2  2 10  8  0  2
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  4 12  4  4  4  8  4  4  4 12 12  0  4  4 12 12  4
 0  0  0  0 12  0  0  0  0  0 12 12  4  8  0  4 12  8 12 12  8  4 12  4  4 12 12  8 12  8  8  0  8 12  0  0
 0  0  0  0  0 12  8 12  4 12 12 12  4  0  8  0  0  4 12  8  8 12  0  8 12  4  4 12  0  0 12  4  4  0 12  8

generates a code of length 36 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+157x^28+236x^29+1030x^30+1200x^31+2896x^32+4260x^33+7576x^34+9536x^35+11204x^36+9776x^37+8140x^38+4420x^39+2804x^40+1076x^41+748x^42+200x^43+207x^44+12x^45+38x^46+4x^47+11x^48+4x^50

The gray image is a code over GF(2) with n=288, k=16 and d=112.
This code was found by Heurico 1.16 in 34.1 seconds.