The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+40x^42+4x^43+84x^44+64x^45+207x^46+152x^47+437x^48+336x^49+816x^50+600x^51+1024x^52+720x^53+977x^54+652x^55+778x^56+472x^57+477x^58+458x^59+644x^60+932x^61+1365x^62+1942x^63+3072x^64+3338x^65+5358x^66+4558x^67+6292x^68+4666x^69+5284x^70+3530x^71+3187x^72+1976x^73+1381x^74+858x^75+619x^76+420x^77+456x^78+462x^79+741x^80+642x^81+1071x^82+706x^83+1050x^84+618x^85+746x^86+362x^87+405x^88+148x^89+210x^90+48x^91+71x^92+4x^93+36x^94+4x^95+19x^96+7x^98+8x^100+1x^102

The gray image is a code over GF(2) with n=272, k=16 and d=84.
This code was found by Heurico 1.16 in 99.6 seconds.