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

generates a code of length 69 over Z8 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+4x^41+38x^42+34x^43+97x^44+94x^45+251x^46+164x^47+471x^48+360x^49+717x^50+582x^51+962x^52+636x^53+1032x^54+544x^55+761x^56+376x^57+498x^58+334x^59+510x^60+450x^61+1129x^62+996x^63+2526x^64+2240x^65+4633x^66+3548x^67+6790x^68+4002x^69+6832x^70+3346x^71+4793x^72+2156x^73+2555x^74+1120x^75+1029x^76+486x^77+483x^78+324x^79+547x^80+374x^81+734x^82+508x^83+1002x^84+686x^85+1008x^86+572x^87+757x^88+340x^89+445x^90+176x^91+188x^92+78x^93+109x^94+36x^95+31x^96+6x^97+12x^98+2x^99+14x^100+4x^102+2x^103+1x^104

The gray image is a code over GF(2) with n=276, k=16 and d=82.
This code was found by Heurico 1.16 in 99.8 seconds.