The generator matrix

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

generates a code of length 15 over Z4 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+76x^9+166x^10+214x^11+314x^12+392x^13+518x^14+666x^15+587x^16+428x^17+322x^18+202x^19+118x^20+64x^21+18x^22+6x^23+4x^24

The gray image is a code over GF(2) with n=30, k=12 and d=9.
This code was found by Heurico 1.16 in 0.209 seconds.