The generator matrix

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

generates a code of length 16 over Z8 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+40x^11+85x^12+100x^13+166x^14+372x^15+523x^16+376x^17+172x^18+96x^19+62x^20+36x^21+14x^22+4x^23+1x^28

The gray image is a code over GF(2) with n=64, k=11 and d=22.
This code was found by Heurico 1.16 in 34.4 seconds.