The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+42x^22+32x^23+163x^24+148x^25+384x^26+444x^27+704x^28+1196x^29+1844x^30+2548x^31+3078x^32+3816x^33+3821x^34+3832x^35+3266x^36+2552x^37+1786x^38+1192x^39+837x^40+452x^41+263x^42+140x^43+124x^44+28x^45+40x^46+4x^47+17x^48+11x^50+2x^52+1x^58

The gray image is a code over GF(2) with n=136, k=15 and d=44.
This code was found by Heurico 1.16 in 18.9 seconds.