The generator matrix

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

generates a code of length 69 over Z8 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+222x^58+32x^59+527x^60+188x^61+1176x^62+708x^63+1941x^64+1684x^65+2796x^66+2224x^67+3597x^68+2604x^69+3668x^70+2312x^71+2917x^72+1564x^73+1784x^74+720x^75+1000x^76+232x^77+482x^78+20x^79+223x^80+102x^82+27x^84+10x^86+5x^88+1x^92+1x^96

The gray image is a code over GF(2) with n=276, k=15 and d=116.
This code was found by Heurico 1.16 in 61.4 seconds.