The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  0  4  2  6  2  4  2  2  2  6  0  4  6  0  2  4  6  4  2  2  6  0  4  4  6  2
 0  0  2  0  0  0  0  0  0  0  6  4  2  2  2  2  0  6  4  4  4  4  6  0  0  2  6  2  6  4  2  2  0  0  6
 0  0  0  2  0  0  4  6  2  2  2  6  4  2  2  4  0  2  6  2  0  0  0  0  4  0  2  0  4  4  6  2  2  6  0
 0  0  0  0  2  0  6  6  6  4  0  0  0  0  4  6  6  6  2  4  0  2  6  0  6  4  2  0  6  4  6  6  4  6  2
 0  0  0  0  0  2  2  4  6  2  0  0  0  0  6  2  0  4  2  4  2  2  4  2  0  6  6  4  2  0  6  0  0  4  6

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

Homogenous weight enumerator: w(x)=1x^0+72x^27+149x^28+204x^29+255x^30+356x^31+519x^32+784x^33+1127x^34+1254x^35+1138x^36+812x^37+529x^38+362x^39+234x^40+168x^41+96x^42+66x^43+37x^44+16x^45+8x^46+2x^47+2x^48+1x^58

The gray image is a code over GF(2) with n=140, k=13 and d=54.
This code was found by Heurico 1.16 in 2.18 seconds.