The generator matrix

 1  0  1  1  1 10  1  1  0  1 14  2  1  2  1
 0  1  1  0  3  1  8  1  1  5  1  2  6 10 12
 0  0  2  0 14  8  2 12  6  4  2 14  6  8  4
 0  0  0  2 14 14 14 14  8 12  6  8  4 10 10

generates a code of length 15 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+126x^11+646x^12+1398x^13+3688x^14+4644x^15+3767x^16+1380x^17+568x^18+126x^19+34x^20+6x^21

The gray image is a code over GF(2) with n=120, k=14 and d=44.
This code was found by Heurico 1.16 in 0.451 seconds.