The generator matrix
1 1 1 1 2 1 1 1 2 2 2 2 2
0 2 0 6 2 0 6 0 6 6 4 14 4
0 0 12 0 0 0 4 4 0 8 4 8 0
0 0 0 12 0 12 4 0 4 0 4 4 4
0 0 0 0 4 0 0 12 4 8 4 0 8
0 0 0 0 0 8 0 8 0 0 8 8 8
0 0 0 0 0 0 8 8 8 8 8 8 8
generates a code of length 13 over Z16 who´s minimum homogenous weight is 7.
Homogenous weight enumerator: w(x)=1x^0+36x^7+170x^8+394x^9+1468x^10+1816x^11+6516x^12+11886x^13+6616x^14+1828x^15+1477x^16+390x^17+108x^18+32x^19+28x^20+2x^21
The gray image is a code over GF(2) with n=104, k=15 and d=28.
This code was found by Heurico 1.16 in 0.724 seconds.