The generator matrix

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

generates a code of length 15 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+84x^8+98x^9+249x^10+382x^11+626x^12+930x^13+1138x^14+1262x^15+963x^16+950x^17+724x^18+394x^19+238x^20+70x^21+62x^22+10x^23+8x^24+3x^26

The gray image is a code over GF(2) with n=30, k=13 and d=8.
This code was found by Heurico 1.16 in 0.454 seconds.