The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+159x^8+230x^9+503x^10+700x^11+1349x^12+1786x^13+2084x^14+2760x^15+2084x^16+1786x^17+1349x^18+700x^19+503x^20+230x^21+159x^22+1x^30

The gray image is a code over GF(2) with n=30, k=14 and d=8.
This code was found by Heurico 1.10 in 0.635 seconds.