The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+147x^24+280x^25+398x^26+400x^27+406x^28+280x^29+124x^30+3x^32+6x^34+2x^36+1x^40

The gray image is a code over GF(2) with n=216, k=11 and d=96.
This code was found by Heurico 1.16 in 0.0285 seconds.