The generator matrix

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

generates a code of length 32 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+66x^28+128x^29+230x^30+64x^31+98x^32+64x^33+164x^34+128x^35+54x^36+10x^38+11x^40+4x^42+2x^44

The gray image is a code over GF(2) with n=128, k=10 and d=56.
This code was found by Heurico 1.16 in 0.0253 seconds.