The generator matrix

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

generates a code of length 67 over Z8 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+190x^52+38x^54+602x^56+40x^57+396x^58+208x^59+1317x^60+776x^61+1272x^62+1984x^63+2312x^64+3280x^65+1842x^66+3808x^67+2660x^68+3280x^69+1638x^70+1984x^71+1874x^72+776x^73+800x^74+208x^75+897x^76+40x^77+156x^78+282x^80+2x^82+82x^84+16x^88+5x^92+1x^96+1x^108

The gray image is a code over GF(2) with n=268, k=15 and d=104.
This code was found by Heurico 1.16 in 71.8 seconds.