The generator matrix

 1  0  1  1  1  6  1  1  1  1
 0  1  3  6  5  1 12  0  6  0
 0  0  8  0  0  0  8  8  0  0
 0  0  0  8  0  0  8  0  8  0
 0  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  8  8  8  0  8

generates a code of length 10 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+25x^6+32x^7+192x^8+992x^9+1615x^10+992x^11+188x^12+32x^13+23x^14+3x^16+1x^18

The gray image is a code over GF(2) with n=80, k=12 and d=24.
This code was found by Heurico 1.16 in 0.00623 seconds.