The generator matrix

 1  0  0  1  1  1  2 10  1 14  1  1 12  1  1  1  1 10  8 14  1 10 14  1  1  8  1  1  1 10  6  1  1  1 14  1
 0  1  0  0 13 13  1  6  8  1  6  7  1 11 10 15 11  1  1  8 10  1  1  4  5  1 14  3  6  1  1 12 14  8  1 12
 0  0  1  3  7  4  7  1 14  2  3 15  5  2  5  5  4  0  7  1  6 12 13  1 13  6  8  0  6  2  1 15  4 12  9  2
 0  0  0  8  8  0  8  8  0  8  0  0  0  8  0  8  0  0  8  0  8  8  0  0  0  0  0  8  8  0  8  8  8  8  0  0

generates a code of length 36 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+155x^32+766x^33+1274x^34+1248x^35+1652x^36+1108x^37+1000x^38+592x^39+230x^40+110x^41+31x^42+16x^43+6x^46+2x^48+1x^50

The gray image is a code over GF(2) with n=288, k=13 and d=128.
This code was found by Heurico 1.16 in 0.36 seconds.