The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^8+262x^9+622x^10+1912x^11+3826x^12+6510x^13+6374x^14+6560x^15+3823x^16+1922x^17+618x^18+232x^19+46x^20+10x^21+2x^22+2x^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 1.58 seconds.