The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+53x^52+4x^53+64x^54+32x^55+205x^56+66x^57+231x^58+146x^59+366x^60+282x^61+617x^62+540x^63+1274x^64+756x^65+2533x^66+984x^67+4251x^68+1288x^69+5160x^70+1230x^71+4465x^72+1002x^73+2722x^74+818x^75+1195x^76+554x^77+582x^78+264x^79+331x^80+128x^81+237x^82+68x^83+112x^84+16x^85+96x^86+14x^87+26x^88+34x^90+7x^92+9x^94+2x^96+2x^98+1x^106

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 71.7 seconds.