The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  1  6  1
 0  1  0  1  0  3  1  2  0  7  2  3  2  0
 0  0  1  1  1  0  1  1  0  1  1  2  1  0
 0  0  0  2  0  6  0  0  2  4  2  4  0  2
 0  0  0  0  2  0  0  2  2  4  6  2  2  2
 0  0  0  0  0  4  0  4  0  4  4  4  4  4
 0  0  0  0  0  0  4  0  0  0  4  4  4  4

generates a code of length 14 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+91x^8+256x^9+588x^10+1976x^11+3308x^12+7016x^13+6356x^14+6896x^15+3315x^16+2064x^17+596x^18+216x^19+68x^20+8x^21+12x^22+1x^24

The gray image is a code over GF(2) with n=56, k=15 and d=16.
This code was found by Heurico 1.16 in 1.8 seconds.