The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+238x^26+444x^27+1461x^28+2000x^29+3722x^30+4684x^31+7192x^32+8024x^33+9450x^34+8464x^35+7465x^36+4956x^37+3728x^38+1660x^39+1223x^40+432x^41+292x^42+44x^43+34x^44+12x^45+10x^46

The gray image is a code over GF(2) with n=136, k=16 and d=52.
This code was found by Heurico 1.16 in 54 seconds.