The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  4  0  4  2  1  4  1  4  1  0  4  1  1  1  1  2  1
 0  2  0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  4  0  0  4  2  2  6  6  6  2  6  6  2  2  6  6  2  2  6  2  4  2  4  6  0  6  0  6  2  4  4  2  0  0  2  0  2  2  2  0  0  0  2  4  2  2  4  6  2  4  6  4
 0  0  2  0  0  0  0  0  0  0  0  4  0  4  6  6  6  2  6  2  2  0  2  4  2  2  4  4  2  0  2  4  6  0  6  2  2  6  2  2  0  2  0  6  0  4  4  4  6  2  2  6  2  4  0  0  6  4  6  4  6  4  6  2  4  6  6  6  0
 0  0  0  2  0  0  0  0  0  0  0  6  2  2  0  2  6  4  2  4  2  6  2  0  4  2  4  2  6  4  6  6  4  2  2  0  2  2  0  0  2  0  6  6  6  2  2  0  2  6  2  6  4  4  0  6  2  4  4  2  6  4  4  0  0  6  6  6  4
 0  0  0  0  2  0  0  4  6  2  2  2  2  0  2  6  4  2  6  0  0  6  6  2  2  2  6  4  4  0  6  4  2  0  6  0  0  2  4  6  6  0  6  4  0  6  2  6  4  6  2  2  6  4  2  4  4  0  6  0  0  0  0  0  0  4  6  2  4
 0  0  0  0  0  2  0  6  6  6  4  0  0  0  0  0  0  0  0  4  4  0  0  0  0  0  4  4  4  4  2  2  2  2  6  4  2  6  6  6  4  2  6  2  2  2  2  6  4  4  6  4  6  0  6  2  0  2  4  2  2  0  6  2  6  2  4  4  2
 0  0  0  0  0  0  2  2  4  6  2  0  2  2  0  0  0  2  6  2  6  0  6  2  6  4  4  0  6  6  2  0  2  6  4  4  6  2  6  6  6  4  0  6  4  2  2  4  2  2  4  0  6  4  2  0  4  6  6  2  4  0  4  2  0  6  6  2  4

generates a code of length 69 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+53x^56+176x^57+244x^58+360x^59+497x^60+530x^61+698x^62+836x^63+1026x^64+1630x^65+2162x^66+2862x^67+3518x^68+3570x^69+3439x^70+2944x^71+2202x^72+1692x^73+1185x^74+768x^75+644x^76+478x^77+365x^78+298x^79+234x^80+154x^81+92x^82+56x^83+17x^84+22x^85+6x^86+2x^87+4x^89+2x^91+1x^114

The gray image is a code over GF(2) with n=276, k=15 and d=112.
This code was found by Heurico 1.16 in 67.3 seconds.