The generator matrix

 1  0  1  1  1  0  1  1  1  1  1  1  1  1  1
 0  1  3  6  1  1  0  0  0  0  0  0  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  4  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  4  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  0  4  4  0  0  0

generates a code of length 15 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+63x^4+32x^5+56x^6+192x^7+498x^8+480x^9+291x^10+640x^11+750x^12+2560x^13+6533x^14+8576x^15+6533x^16+2560x^17+750x^18+640x^19+291x^20+480x^21+498x^22+192x^23+56x^24+32x^25+63x^26+1x^30

The gray image is a code over GF(2) with n=60, k=15 and d=8.
This code was found by Heurico 1.16 in 0.543 seconds.