The generator matrix

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

generates a code of length 15 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+39x^10+102x^12+122x^14+111x^16+88x^18+42x^20+6x^22+1x^26

The gray image is a code over GF(2) with n=30, k=9 and d=10.
This code was found by Heurico 1.16 in 0.00625 seconds.