The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+31x^32

The gray image is a code over GF(2) with n=124, k=5 and d=64.
This code was found by Heurico 1.16 in 0.00488 seconds.