The generator matrix

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

generates a code of length 81 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+140x^68+8x^69+218x^70+168x^71+732x^72+568x^73+1010x^74+1064x^75+1676x^76+2032x^77+1984x^78+2672x^79+2448x^80+3184x^81+2438x^82+2992x^83+2238x^84+1896x^85+1450x^86+1128x^87+1072x^88+472x^89+462x^90+168x^91+274x^92+32x^93+108x^94+75x^96+10x^98+38x^100+8x^104+2x^108

The gray image is a code over GF(2) with n=324, k=15 and d=136.
This code was found by Heurico 1.16 in 61.1 seconds.