The generator matrix

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

generates a code of length 10 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+43x^6+500x^7+2018x^8+7104x^9+13426x^10+7144x^11+1988x^12+480x^13+59x^14+4x^15+1x^16

The gray image is a code over GF(2) with n=80, k=15 and d=24.
This code was found by Heurico 1.16 in 0.796 seconds.