The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^11+86x^12+112x^13+214x^14+358x^15+431x^16+368x^17+214x^18+114x^19+58x^20+32x^21+18x^22+2x^23+2x^26

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 0.0552 seconds.