The generator matrix

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

generates a code of length 36 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+120x^24+99x^26+22x^27+217x^28+168x^29+257x^30+634x^31+528x^32+1968x^33+517x^34+3404x^35+561x^36+3264x^37+593x^38+1956x^39+451x^40+720x^41+399x^42+126x^43+147x^44+24x^45+139x^46+2x^47+19x^48+39x^50+3x^52+3x^54+1x^56+2x^58

The gray image is a code over GF(2) with n=144, k=14 and d=48.
This code was found by Heurico 1.16 in 6.24 seconds.