The generator matrix

 1  1  2  1  1  2
 0  2  2  0  0  8
 0  0  4  0  0  4
 0  0  0 12  0  4
 0  0  0  0 12  4
 0  0  0  0  0  8

generates a code of length 6 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+74x^2+64x^3+975x^4+2496x^5+9164x^6+2496x^7+975x^8+64x^9+74x^10+1x^12

The gray image is a code over GF(2) with n=48, k=14 and d=8.
This code was found by Heurico 1.16 in 0.0381 seconds.