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

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

Homogenous weight enumerator: w(x)=1x^0+162x^32+192x^33+176x^34+320x^35+376x^36+192x^37+416x^38+64x^39+116x^40+16x^42+16x^44+1x^64

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 0.0935 seconds.