The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+162x^10+508x^11+2063x^12+6156x^13+14116x^14+19416x^15+14254x^16+6232x^17+2002x^18+428x^19+161x^20+28x^21+8x^22+1x^24

The gray image is a code over GF(2) with n=120, k=16 and d=40.
This code was found by Heurico 1.16 in 5.16 seconds.