The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^11+84x^12+148x^13+16x^14+96x^15+27x^16+12x^17+2x^19

The gray image is a code over GF(2) with n=52, k=9 and d=22.
This code was found by Heurico 1.16 in 0.0023 seconds.