The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^58+162x^59+333x^60+620x^61+931x^62+1206x^63+1643x^64+1946x^65+2242x^66+2774x^67+2869x^68+3150x^69+3075x^70+2648x^71+2366x^72+1934x^73+1648x^74+1138x^75+811x^76+490x^77+253x^78+242x^79+85x^80+48x^81+34x^82+22x^83+19x^84+4x^85+5x^86+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 39.9 seconds.