The generator matrix

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

generates a code of length 25 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+28x^17+94x^18+148x^19+231x^20+484x^21+848x^22+1628x^23+2922x^24+3596x^25+2906x^26+1684x^27+884x^28+460x^29+230x^30+116x^31+53x^32+40x^33+16x^34+8x^35+5x^36+2x^38

The gray image is a code over GF(2) with n=200, k=14 and d=68.
This code was found by Heurico 1.16 in 21.8 seconds.