The generator matrix

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

generates a code of length 35 over Z8 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+172x^27+605x^28+1290x^29+2273x^30+3740x^31+5177x^32+7116x^33+7471x^34+9056x^35+8314x^36+7434x^37+5243x^38+3560x^39+2098x^40+1144x^41+489x^42+238x^43+61x^44+40x^45+12x^46+2x^51

The gray image is a code over GF(2) with n=140, k=16 and d=54.
This code was found by Heurico 1.16 in 52.5 seconds.