The generator matrix

 1  0  1  1  1  0  1  1  1  1  4  0  2  1
 0  1  1  0  1  1  7  0  4  3  1  1  4  0
 0  0  2  0  0  0  2  4  2  6  2  2  0  0
 0  0  0  2  0  6  2  6  2  2  0  4  0  0
 0  0  0  0  2  0  2  2  6  4  0  6  2  0
 0  0  0  0  0  4  0  0  4  0  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+61x^8+68x^9+240x^10+486x^11+917x^12+1474x^13+1666x^14+1516x^15+906x^16+504x^17+252x^18+46x^19+35x^20+2x^21+18x^22

The gray image is a code over GF(2) with n=56, k=13 and d=16.
This code was found by Heurico 1.16 in 0.167 seconds.