The generator matrix

 1  0  0  1  1  1  2  1  4  1  1  1  4
 0  1  0  1  0  3  1  2  2  5  7  3  1
 0  0  1  1  1  0  1  2  1  3  4  0  0
 0  0  0  2  0  6  4  2  6  6  6  0  0
 0  0  0  0  2  0  4  6  6  6  2  4  2
 0  0  0  0  0  4  4  0  0  0  4  4  0

generates a code of length 13 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+143x^8+264x^9+900x^10+1888x^11+3036x^12+3888x^13+3080x^14+1888x^15+903x^16+264x^17+116x^18+12x^20+1x^24

The gray image is a code over GF(2) with n=52, k=14 and d=16.
This code was found by Heurico 1.16 in 0.607 seconds.