The generator matrix

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

generates a code of length 70 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+22x^40+28x^41+79x^42+96x^43+188x^44+166x^45+468x^46+312x^47+707x^48+590x^49+1100x^50+678x^51+1092x^52+574x^53+726x^54+374x^55+467x^56+156x^57+198x^58+130x^59+218x^60+168x^61+520x^62+536x^63+1528x^64+1428x^65+3628x^66+2784x^67+6116x^68+4234x^69+7052x^70+4270x^71+5833x^72+2826x^73+3593x^74+1432x^75+1599x^76+552x^77+562x^78+154x^79+218x^80+86x^81+241x^82+206x^83+425x^84+364x^85+766x^86+564x^87+990x^88+678x^89+1110x^90+554x^91+839x^92+366x^93+359x^94+170x^95+210x^96+64x^97+65x^98+24x^99+19x^100+8x^101+10x^102+4x^103+8x^104+2x^106+1x^110

The gray image is a code over GF(2) with n=280, k=16 and d=80.
This code was found by Heurico 1.16 in 99.2 seconds.