The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+314x^16+160x^18+828x^20+1952x^22+2048x^23+9444x^24+4096x^25+7904x^26+2048x^27+3064x^28+224x^30+597x^32+76x^36+12x^40

The gray image is a code over GF(2) with n=200, k=15 and d=64.
This code was found by Heurico 1.16 in 4.95 seconds.