The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+77x^8+34x^9+166x^10+192x^11+294x^12+470x^13+490x^14+644x^15+461x^16+494x^17+330x^18+184x^19+170x^20+26x^21+38x^22+4x^23+21x^24

The gray image is a code over GF(2) with n=30, k=12 and d=8.
This code was found by Heurico 1.16 in 0.116 seconds.