The generator matrix

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

generates a code of length 13 over Z8 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+6x^11+15x^12+84x^13+15x^14+6x^15+1x^26

The gray image is a code over GF(2) with n=52, k=7 and d=22.
This code was found by Heurico 1.16 in 0.00075 seconds.