The generator matrix

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

generates a code of length 15 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+2x^14+20x^15+3x^16+4x^17+2x^18

The gray image is a code over GF(2) with n=60, k=5 and d=28.
This code was found by Heurico 1.16 in 0.000689 seconds.