The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^10+248x^11+508x^12+1552x^13+3037x^14+5570x^15+2984x^16+1672x^17+516x^18+148x^19+58x^20+24x^21+5x^22+2x^23+1x^24

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 2.72 seconds.