The generator matrix

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

generates a code of length 15 over Z4 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+16x^12+32x^13+18x^14+16x^15+15x^16+8x^17+8x^18+8x^21+6x^22

The gray image is a code over GF(2) with n=30, k=7 and d=12.
This code was found by Heurico 1.16 in 0.00107 seconds.