The generator matrix

 1  0  1  1  1  1
 0  1  3  0  0  0
 0  0  8  0  0  0
 0  0  0  8  0  0
 0  0  0  0  8  0
 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+34x^2+127x^4+448x^5+2876x^6+448x^7+127x^8+34x^10+1x^12

The gray image is a code over GF(2) with n=48, k=12 and d=8.
This code was found by Heurico 1.16 in 0.00146 seconds.