The generator matrix

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

generates a code of length 28 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+28x^18+8x^19+89x^20+72x^21+204x^22+480x^23+882x^24+2656x^25+7442x^26+14192x^27+13410x^28+14192x^29+7464x^30+2656x^31+900x^32+480x^33+192x^34+72x^35+69x^36+8x^37+28x^38+8x^40+2x^42+1x^48

The gray image is a code over GF(2) with n=224, k=16 and d=72.
This code was found by Heurico 1.16 in 10.5 seconds.