The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  6  1  2  2  2  2  2  2  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  1  3  6  1  5  0  6  0  0  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  8  0  8  0  0  8  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  0  0  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  0  8  8  0  0  8  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  8  0  0  8  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  0  8  8  0  0  0  8  8  0  0  0  0
 0  0  0  0  0  0  0  0  0  8  8  0  8  0  0  8  8  0  8  0  8  8  0  0  0  0  0

generates a code of length 27 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+76x^16+32x^17+204x^18+240x^19+308x^20+722x^21+440x^22+1738x^23+1544x^24+8480x^25+11774x^26+14464x^27+11704x^28+8436x^29+1520x^30+1764x^31+575x^32+720x^33+344x^34+224x^35+100x^36+42x^37+40x^38+2x^39+28x^40+14x^42

The gray image is a code over GF(2) with n=216, k=16 and d=64.
This code was found by Heurico 1.16 in 8.24 seconds.