The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  2  1  1
 0  1  1  0  1  1  0  1  1  0  3  1  0  0  0
 0  0  2  0  0  0  0  0  0  2  0  2  2  0  0
 0  0  0  2  0  0  0  0  2  2  0  2  0  0  0
 0  0  0  0  2  0  0  0  2  0  0  2  2  0  0
 0  0  0  0  0  2  0  0  2  0  2  2  0  0  0
 0  0  0  0  0  0  2  0  2  2  2  0  0  0  0
 0  0  0  0  0  0  0  2  0  2  2  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+46x^8+48x^10+197x^12+200x^14+277x^16+128x^18+106x^20+8x^22+12x^24+1x^28

The gray image is a code over GF(2) with n=30, k=10 and d=8.
This code was found by Heurico 1.16 in 0.00707 seconds.