The generator matrix

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

generates a code of length 13 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+48x^7+130x^8+194x^9+372x^10+844x^11+1508x^12+1918x^13+1608x^14+856x^15+381x^16+190x^17+68x^18+44x^19+28x^20+2x^21

The gray image is a code over GF(2) with n=52, k=13 and d=14.
This code was found by Heurico 1.16 in 0.158 seconds.