The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^27+195x^28+326x^29+513x^30+886x^31+1216x^32+1678x^33+2289x^34+2192x^35+1964x^36+1798x^37+1317x^38+844x^39+514x^40+274x^41+127x^42+82x^43+45x^44+20x^45+10x^46+6x^47+1x^48

The gray image is a code over GF(2) with n=140, k=14 and d=54.
This code was found by Heurico 1.16 in 16.7 seconds.