The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^24+38x^25+97x^26+198x^27+140x^28+698x^29+662x^30+1646x^31+1200x^32+1566x^33+677x^34+786x^35+118x^36+126x^37+82x^38+58x^39+29x^40+4x^41+17x^42+6x^44+1x^48+1x^50

The gray image is a code over GF(2) with n=256, k=13 and d=96.
This code was found by Heurico 1.16 in 0.634 seconds.