The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  1  1  1
 0  2  0  0  0  0  0  0  2  0  2  2  0  0  2
 0  0  2  0  0  0  0  0  2  2  2  0  0  2  2
 0  0  0  2  0  0  0  2  0  2  0  2  0  2  2
 0  0  0  0  2  0  0  2  0  0  2  2  2  2  0
 0  0  0  0  0  2  0  2  2  0  0  2  0  2  0
 0  0  0  0  0  0  2  2  2  2  2  2  2  0  0

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

Homogenous weight enumerator: w(x)=1x^0+15x^10+30x^12+32x^13+26x^14+64x^15+15x^16+32x^17+16x^18+18x^20+6x^22+1x^26

The gray image is a code over GF(2) with n=30, k=8 and d=10.
This code was found by Heurico 1.16 in 0.00184 seconds.