The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  2 12  1  1  8  1  1  2  1  1  1
 0  2  0  2  8  0  6  6  4 12  4 14  4  2  6  2  4  6 10  8  8  0  2  6  4  6  2 10  2  2  0  4  0  2  8  8
 0  0  2  2  4  6  6  0 12  8  2 12 14 12  6 10  2 12  6  2  6  4 14  0  4  8  0  2  8 12 14  8 10  4  8  0
 0  0  0  8  8  8  0  8  0  8  0  8  8  0  8  0  8  0  0  8  0  0  8  0  8  0  8  0  8  8  0  0  8  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+58x^32+176x^33+197x^34+408x^35+474x^36+328x^37+166x^38+140x^39+41x^40+32x^41+19x^42+4x^43+2x^44+1x^46+1x^62

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 0.0601 seconds.