The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^11+71x^12+52x^13+45x^14+22x^15+8x^16+8x^17+3x^18+2x^19

The gray image is a code over GF(2) with n=52, k=8 and d=22.
This code was found by Heurico 1.16 in 0.00103 seconds.