The generator matrix

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

generates a code of length 15 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+117x^8+428x^10+1300x^12+2284x^14+2183x^16+1316x^18+476x^20+68x^22+19x^24

The gray image is a code over GF(2) with n=30, k=13 and d=8.
This code was found by Heurico 1.16 in 0.397 seconds.