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

generates a code of length 70 over Z8 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+187x^52+484x^56+870x^60+32x^62+1411x^64+896x^66+3176x^68+18624x^70+3172x^72+896x^74+1504x^76+32x^78+860x^80+429x^84+144x^88+41x^92+8x^96+1x^124

The gray image is a code over GF(2) with n=280, k=15 and d=104.
This code was found by Heurico 1.16 in 89.5 seconds.