The generator matrix

 1  0  0  0  1  1  1  4  1  2  1  0  1 14  1  1
 0  1  0  0  2  9  5  1  4  0  9  1 12  8  6 14
 0  0  1  0  3  1  6  7  3  1  1  5  6  1  7  2
 0  0  0  1  1  4  3  3  2  1  3  4  9  9 15 10
 0  0  0  0  4  8  0  8  0  8  4  4  4  4  0 12

generates a code of length 16 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+300x^11+1825x^12+7584x^13+25220x^14+56620x^15+78418x^16+57520x^17+25456x^18+7124x^19+1643x^20+368x^21+44x^22+20x^23+1x^24

The gray image is a code over GF(2) with n=128, k=18 and d=44.
This code was found by Heurico 1.16 in 110 seconds.