The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 0 1 2 0 1 1 2 1 1 1 0 2 0 1 1 1 2 0 1 1 2 1 1 2 1 1 2 4 1 0 1 2 1 2 2 0 1 0 2 1 0 1 1 1 1 2 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 0 6 6 0 6 4 6 2 2 6 2 0 6 6 6 0 0 2 6 2 6 0 4 6 2 2 0 6 6 0 6 6 0 6 4 6 2 0 0 6 6 6 2 6 2 2 6 2 4 6 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 4 0 0 0 4 0 4 0 4 4 0 4 4 0 0 0 0 4 4 4 4 0 0 4 0 0 4 4 4 4 4 4 4 0 0 4 0 4 0 0 0 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 4 4 0 0 4 0 0 4 0 0 4 4 4 4 0 4 4 0 0 4 0 4 4 0 4 0 4 0 0 4 4 4 0 0 0 0 4 4 0 0 0 0 0 4 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 0 4 4 0 4 0 4 4 4 4 0 4 0 0 4 0 4 4 4 4 0 0 4 0 4 4 4 4 4 0 0 0 0 4 0 4 4 0 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 4 0 4 4 4 4 4 4 4 0 4 4 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 0 4 4 0 4 0 0 0 0 0 4 4 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 0 4 4 4 0 4 4 0 4 0 0 4 0 0 0 4 0 4 4 0 0 4 4 4 0 0 0 0 0 4 4 4 4 0 4 0 4 4 0 0 4 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 4 0 4 4 4 4 4 4 0 4 0 0 0 4 4 0 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 0 0 0 4 4 4 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 4 0 4 0 4 4 4 0 0 0 0 0 0 4 0 4 4 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 0 0 4 4 4 4 4 0 0 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 0 4 4 4 0 4 0 0 0 4 4 4 0 0 4 0 4 4 0 0 0 0 4 4 4 4 4 4 0 4 4 4 4 4 0 4 0 0 0 4 4 0 4 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 0 0 4 4 4 0 0 0 0 4 4 4 0 4 0 4 4 0 0 4 4 4 4 4 4 0 0 0 4 4 0 0 0 0 4 4 4 4 4 4 0 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 4 0 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 4 0 4 0 4 4 0 0 0 0 0 0 4 4 4 4 4 4 generates a code of length 69 over Z8 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+93x^52+26x^54+410x^56+212x^58+40x^59+906x^60+208x^61+756x^62+776x^63+1748x^64+1984x^65+1560x^66+3280x^67+2614x^68+3808x^69+1884x^70+3280x^71+2370x^72+1984x^73+1220x^74+776x^75+1278x^76+208x^77+404x^78+40x^79+561x^80+80x^82+185x^84+2x^86+59x^88+12x^92+2x^96+1x^104 The gray image is a code over GF(2) with n=276, k=15 and d=104. This code was found by Heurico 1.16 in 71.9 seconds.