The generator matrix

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

generates a code of length 31 over Z8 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+202x^27+196x^28+356x^29+48x^30+486x^31+175x^32+264x^33+198x^35+76x^36+20x^37+16x^38+10x^39

The gray image is a code over GF(2) with n=124, k=11 and d=54.
This code was found by Heurico 1.16 in 5.65 seconds.