The generator matrix

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

generates a code of length 25 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+158x^16+2x^17+124x^18+50x^19+180x^20+360x^21+508x^22+1768x^23+3280x^24+3260x^25+3288x^26+2076x^27+456x^28+456x^29+120x^30+200x^31+17x^32+18x^33+44x^34+2x^35+4x^36+12x^38

The gray image is a code over GF(2) with n=200, k=14 and d=64.
This code was found by Heurico 1.16 in 1.35 seconds.