The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^24+168x^25+355x^26+628x^27+1145x^28+1964x^29+3189x^30+5154x^31+6845x^32+8482x^33+9176x^34+8466x^35+7171x^36+5184x^37+3334x^38+1972x^39+1014x^40+548x^41+303x^42+152x^43+83x^44+36x^45+21x^46+10x^47+2x^48+2x^49+6x^50+2x^51+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 62.9 seconds.