The generator matrix

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

generates a code of length 15 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+130x^10+164x^11+667x^12+1340x^13+3039x^14+5672x^15+3054x^16+1400x^17+661x^18+116x^19+117x^20+12x^21+9x^22+1x^24+1x^26

The gray image is a code over GF(2) with n=120, k=14 and d=40.
This code was found by Heurico 1.16 in 0.58 seconds.