The generator matrix

 1  0  1  1  1  6  1  1  1 12  1 10  1  1  1  0  1  1  6  1  1  1  1  1  1  1 12  6 12  1  1  1  1 10  2  1
 0  1  3  6  5  1 15  9 12  1 10  1  5  3  0  1 15  6  1  5 15  9  0 10 10  3  1  1  1  9  3 11 12  1 12  0
 0  0  8  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  0  8  0  8  8  0  8  0  0  8  8  0  0  8  8  8  0  0
 0  0  0  8  0  8  8  8  8  8  0  0  0  0  8  8  0  0  0  8  8  8  0  0  8  0  8  8  0  0  8  8  8  0  0  0
 0  0  0  0  8  0  8  8  0  0  0  0  8  8  0  0  8  0  0  8  8  0  0  8  8  0  8  0  8  0  8  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+41x^32+184x^33+234x^34+400x^35+360x^36+384x^37+208x^38+176x^39+44x^40+8x^41+4x^42+2x^48+2x^50

The gray image is a code over GF(2) with n=288, k=11 and d=128.
This code was found by Heurico 1.16 in 0.0416 seconds.