The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1
 0  1  1  0  1  1  0  1  1  0  3  1  0  0
 0  0  2  0  0  0  0  0  0  0  0  2  2  2
 0  0  0  2  0  0  0  0  0  0  2  2  2  0
 0  0  0  0  2  0  0  0  0  0  2  0  2  2
 0  0  0  0  0  2  0  0  0  2  0  0  2  2
 0  0  0  0  0  0  2  0  0  2  0  2  0  2
 0  0  0  0  0  0  0  2  0  2  0  2  2  0
 0  0  0  0  0  0  0  0  2  2  2  0  0  2

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

Homogenous weight enumerator: w(x)=1x^0+85x^8+112x^10+544x^12+544x^14+579x^16+112x^18+64x^20+7x^24

The gray image is a code over GF(2) with n=28, k=11 and d=8.
This code was found by Heurico 1.16 in 0.0302 seconds.