The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^24+70x^25+190x^26+286x^27+411x^28+682x^29+890x^30+1224x^31+1591x^32+1780x^33+1902x^34+1858x^35+1569x^36+1322x^37+940x^38+654x^39+396x^40+236x^41+162x^42+72x^43+58x^44+4x^45+10x^46+2x^47+4x^48+2x^49+2x^50+1x^52+1x^60

The gray image is a code over GF(2) with n=136, k=14 and d=48.
This code was found by Heurico 1.16 in 6.09 seconds.