The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+88x^24+40x^25+118x^26+192x^27+285x^28+348x^29+600x^30+1340x^31+3003x^32+4332x^33+3009x^34+1372x^35+602x^36+372x^37+304x^38+148x^39+100x^40+28x^41+48x^42+20x^43+17x^44+16x^46+1x^50

The gray image is a code over GF(2) with n=264, k=14 and d=96.
This code was found by Heurico 1.16 in 2.61 seconds.