The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+139x^24+20x^25+508x^26+432x^27+1571x^28+1828x^29+3963x^30+4832x^31+6000x^32+4956x^33+4209x^34+1872x^35+1365x^36+364x^37+495x^38+32x^39+136x^40+39x^42+4x^44+2x^46

The gray image is a code over GF(2) with n=256, k=15 and d=96.
This code was found by Heurico 1.16 in 8.08 seconds.