The generator matrix

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

generates a code of length 15 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+79x^12+164x^13+202x^14+196x^15+137x^16+140x^17+76x^18+12x^19+15x^20+2x^22

The gray image is a code over GF(2) with n=60, k=10 and d=24.
This code was found by Heurico 1.11 in 0.00362 seconds.