The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+185x^8+1120x^10+1960x^12+5600x^14+3235x^16+3360x^18+728x^20+160x^22+35x^24

The gray image is a code over GF(2) with n=30, k=14 and d=8.
This code was found by Heurico 1.16 in 2.3 seconds.