The generator matrix

 1  0  0  0  0  0  1  1  1  1  0  1  1  1  1
 0  1  0  0  0  0  0  0  0  1  2  1  3  2  2
 0  0  1  0  0  0  0  0  1  1  1  3  2  1  3
 0  0  0  1  0  0  0  1  0  1  3  2  1  1  3
 0  0  0  0  1  0  1  1  3  0  1  0  1  0  2
 0  0  0  0  0  1  1  0  2  1  0  2  3  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  2  2  0  0  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+172x^8+212x^9+470x^10+744x^11+1370x^12+1772x^13+2083x^14+2736x^15+2083x^16+1772x^17+1370x^18+744x^19+470x^20+212x^21+172x^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 1.16 in 3.56 seconds.