The generator matrix

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

generates a code of length 62 over Z8 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+67x^52+124x^53+197x^54+394x^55+616x^56+786x^57+923x^58+1256x^59+1448x^60+1572x^61+1722x^62+1578x^63+1488x^64+1232x^65+902x^66+732x^67+493x^68+340x^69+222x^70+110x^71+74x^72+38x^73+22x^74+20x^75+4x^76+4x^77+11x^78+6x^79+1x^80+1x^82

The gray image is a code over GF(2) with n=248, k=14 and d=104.
This code was found by Heurico 1.16 in 11 seconds.