The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^27+211x^28+342x^29+707x^30+676x^31+1605x^32+1174x^33+2607x^34+1554x^35+2585x^36+1230x^37+1641x^38+682x^39+669x^40+314x^41+165x^42+72x^43+48x^44+12x^45+2x^47+1x^64

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 41.4 seconds.