The generator matrix

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

generates a code of length 57 over Z8 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+42x^39+54x^40+126x^41+138x^42+354x^43+300x^44+556x^45+510x^46+1080x^47+832x^48+1464x^49+1619x^50+2244x^51+2499x^52+3196x^53+4558x^54+4632x^55+5921x^56+5398x^57+5773x^58+4636x^59+4526x^60+3180x^61+2823x^62+2148x^63+1312x^64+1566x^65+847x^66+1084x^67+550x^68+574x^69+313x^70+330x^71+124x^72+114x^73+50x^74+26x^75+9x^76+14x^77+8x^78+4x^81+1x^82

The gray image is a code over GF(2) with n=228, k=16 and d=78.
This code was found by Heurico 1.16 in 98 seconds.