The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^24+186x^25+387x^26+610x^27+1158x^28+2008x^29+3351x^30+4894x^31+6756x^32+8604x^33+9111x^34+8688x^35+7113x^36+5154x^37+3213x^38+1860x^39+1195x^40+584x^41+296x^42+134x^43+69x^44+38x^45+24x^46+6x^47+12x^48+2x^49+2x^50

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 65 seconds.