The generator matrix
1 0 1 1 1 12 2 1 1 0 2 0 2 1
0 1 1 12 11 1 2 10 6 2 4 0 0 0
0 0 2 6 4 6 2 6 0 6 2 2 0 0
0 0 0 8 0 0 0 8 0 0 8 8 0 0
0 0 0 0 8 0 0 8 8 8 8 8 8 0
0 0 0 0 0 8 0 8 8 8 0 0 8 0
0 0 0 0 0 0 8 8 0 8 0 8 8 0
generates a code of length 14 over Z16 who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+44x^8+140x^9+381x^10+1472x^11+2702x^12+7596x^13+8076x^14+7616x^15+2715x^16+1476x^17+370x^18+128x^19+42x^20+4x^21+4x^22+1x^26
The gray image is a code over GF(2) with n=112, k=15 and d=32.
This code was found by Heurico 1.16 in 0.578 seconds.