The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  4  1  1
 0 12  0  0  8 12 12  4  0  0  8 12  8  4 12 12  0  0  8  8  8 12 12  0  8 12  8  4  0 12  4  4  0  0  4  8
 0  0 12  0 12 12  4  8  0  4  4 12  8 12  0  0  8 12  0 12  4  4  8  8  0  8  4  0  4  8  0  0  4  4  8 12
 0  0  0 12  4  8  4  4  8  4  0  0  4 12 12  8  8  0  4  0  4  0 12  4  8  0  8  4  0  8 12  8 12  4  0  8

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

Homogenous weight enumerator: w(x)=1x^0+23x^32+44x^33+37x^34+224x^35+409x^36+214x^37+17x^38+12x^39+10x^40+12x^41+8x^42+4x^43+5x^44+2x^45+1x^46+1x^66

The gray image is a code over GF(2) with n=288, k=10 and d=128.
This code was found by Heurico 1.16 in 0.0313 seconds.