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

generates a code of length 69 over Z8 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+50x^62+70x^64+40x^66+80x^68+512x^69+126x^70+88x^72+8x^74+30x^78+16x^80+2x^86+1x^128

The gray image is a code over GF(2) with n=276, k=10 and d=124.
This code was found by Heurico 1.16 in 1.69 seconds.