The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  1  1
 0  2  0  0  0  0  0  0  2  0  2  2  0  0
 0  0  2  0  0  0  0  0  2  2  2  0  0  0
 0  0  0  2  0  0  0  2  0  2  0  2  0  0
 0  0  0  0  2  0  0  2  0  0  2  2  0  0
 0  0  0  0  0  2  0  2  2  0  0  2  0  0
 0  0  0  0  0  0  2  2  2  2  2  2  0  0

generates a code of length 14 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+26x^8+68x^12+64x^14+73x^16+20x^20+4x^24

The gray image is a code over GF(2) with n=28, k=8 and d=8.
This code was found by Heurico 1.16 in 0.00119 seconds.