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 2 2 2 4 2 1 0 1 1 0 1 2 2 1 0 1 0 1 1 1 0 1 2 4 2 2 4 1 2 2 1 1 0 2 1 1 2 0 1 1 1 4 4 1 1 0 2 0 2 0 0 2 6 0 0 2 6 4 6 4 6 0 0 6 6 4 6 0 2 2 6 0 2 6 4 0 0 2 2 2 2 4 0 2 2 0 4 6 2 4 2 2 2 4 6 2 6 6 4 2 4 4 2 0 0 0 0 0 6 2 2 2 4 0 0 0 2 2 0 6 2 0 0 6 2 0 4 2 2 0 4 6 0 2 4 4 2 6 2 0 6 2 0 6 2 4 0 4 2 2 2 0 4 0 2 4 0 4 2 6 2 6 2 0 4 4 6 6 2 2 2 0 6 4 6 2 0 6 0 2 2 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 4 4 4 0 4 0 4 0 4 0 4 4 0 4 4 0 4 0 0 4 0 4 4 4 4 4 4 0 0 0 0 4 4 4 4 0 4 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 4 4 4 4 0 0 0 4 4 0 0 4 4 4 0 4 0 0 4 4 0 4 0 0 0 4 0 4 0 4 0 4 4 0 4 0 0 4 0 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 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 4 4 0 4 4 0 0 0 0 4 0 4 0 0 0 4 0 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 0 0 4 4 0 0 0 0 0 4 4 4 0 4 4 0 4 4 0 0 0 0 4 0 0 4 0 4 0 0 4 0 4 4 0 4 0 0 0 4 4 0 0 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 4 0 0 4 0 0 0 4 4 4 0 0 0 0 4 4 4 4 0 4 0 4 4 4 0 0 4 4 0 4 4 4 4 4 0 0 4 0 4 4 4 0 0 4 4 4 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 4 0 4 4 0 4 0 0 0 4 0 0 4 0 0 4 4 4 0 4 0 0 4 4 4 0 0 4 0 0 0 4 4 0 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 4 4 4 0 0 4 4 4 4 0 4 4 0 4 4 0 0 4 0 0 4 4 0 0 4 4 0 0 4 4 0 4 4 4 4 4 4 4 4 4 0 4 0 0 4 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 0 0 4 4 0 4 4 0 4 4 0 4 4 4 4 0 4 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 4 0 4 4 4 4 4 4 generates a code of length 69 over Z8 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+35x^54+34x^55+136x^56+168x^57+267x^58+286x^59+480x^60+576x^61+860x^62+1134x^63+1380x^64+1810x^65+2226x^66+2608x^67+2832x^68+3058x^69+2740x^70+2732x^71+2302x^72+1820x^73+1486x^74+1086x^75+778x^76+644x^77+436x^78+254x^79+198x^80+106x^81+106x^82+52x^83+68x^84+10x^85+21x^86+6x^87+14x^88+11x^90+2x^92+4x^94+1x^96 The gray image is a code over GF(2) with n=276, k=15 and d=108. This code was found by Heurico 1.16 in 67 seconds.