The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+75x^8+128x^9+403x^10+832x^11+1921x^12+3088x^13+3379x^14+3264x^15+1928x^16+736x^17+433x^18+128x^19+43x^20+16x^21+9x^22

The gray image is a code over GF(2) with n=56, k=14 and d=16.
This code was found by Heurico 1.16 in 0.562 seconds.