The generator matrix

 1  0  0  0  1  1  1 10 14  1  1  1  1  1  1
 0  1  0  0  4  9 13  1  1  6  4  7 11 15 14
 0  0  1  0  5  1  4  5  8  1  2 14  7 12 11
 0  0  0  1  1  4  5  5 11 10 11  4 13  6  7

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

Homogenous weight enumerator: w(x)=1x^0+342x^11+1905x^12+5922x^13+14952x^14+19134x^15+15281x^16+5836x^17+1756x^18+378x^19+21x^20+2x^21+4x^22+2x^23

The gray image is a code over GF(2) with n=120, k=16 and d=44.
This code was found by Heurico 1.16 in 6.12 seconds.