The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+116x^61+205x^62+234x^63+335x^64+316x^65+340x^66+398x^67+374x^68+362x^69+315x^70+296x^71+257x^72+206x^73+145x^74+78x^75+44x^76+18x^77+6x^78+8x^79+7x^80+6x^81+11x^82+4x^83+5x^84+2x^86+6x^87+1x^92

The gray image is a code over GF(2) with n=272, k=12 and d=122.
This code was found by Heurico 1.16 in 30.6 seconds.