The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^27+74x^28+204x^29+76x^30+204x^31+35x^32+168x^33+42x^34+80x^35+18x^36+12x^37+8x^38+4x^39+2x^42+2x^43

The gray image is a code over GF(2) with n=124, k=10 and d=54.
This code was found by Heurico 1.16 in 0.055 seconds.