The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  0  0  1
 0  1  0  1  0  1  1  0  2  1  3  1  1  1  0
 0  0  1  1  1  0  1  0  1  1  0  0  0  2  0
 0  0  0  2  0  0  0  0  0  2  0  2  2  2  0
 0  0  0  0  2  0  0  0  2  2  2  2  2  0  0
 0  0  0  0  0  2  0  0  0  2  2  0  2  0  0
 0  0  0  0  0  0  2  0  2  2  0  2  0  0  0
 0  0  0  0  0  0  0  2  2  2  0  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+29x^8+30x^9+62x^10+118x^11+154x^12+222x^13+270x^14+278x^15+253x^16+234x^17+170x^18+114x^19+62x^20+26x^21+10x^22+2x^23+13x^24

The gray image is a code over GF(2) with n=30, k=11 and d=8.
This code was found by Heurico 1.16 in 0.0225 seconds.