The generator matrix

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

generates a code of length 30 over Z8 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+16x^30+8x^31+3x^32+4x^34

The gray image is a code over GF(2) with n=120, k=5 and d=60.
This code was found by Heurico 1.16 in 0.00431 seconds.