The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+32x^24+162x^25+305x^26+908x^27+1027x^28+2340x^29+2921x^30+6006x^31+6179x^32+8966x^33+7794x^34+8942x^35+6093x^36+6202x^37+3024x^38+2418x^39+942x^40+736x^41+275x^42+158x^43+55x^44+26x^45+15x^46+6x^48+2x^50+1x^52

The gray image is a code over GF(2) with n=136, k=16 and d=48.
This code was found by Heurico 1.16 in 50.8 seconds.