The generator matrix 1 0 0 1 1 1 6 1 1 1 1 4 0 0 2 0 2 4 1 1 2 1 1 1 1 1 4 1 2 4 4 2 2 2 1 1 1 1 0 0 0 4 4 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 0 1 0 1 0 1 1 4 2 5 3 2 1 1 0 2 1 1 5 4 1 0 2 3 1 0 1 1 6 2 0 2 2 4 5 4 7 6 0 2 1 1 0 6 6 3 4 2 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 1 3 2 1 1 0 1 1 2 5 0 3 2 5 2 1 4 4 3 7 6 2 4 6 6 0 3 6 2 3 2 1 2 3 0 3 1 1 1 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 6 4 0 2 0 2 0 6 0 6 4 4 6 2 6 6 4 2 6 2 0 0 2 2 2 0 4 4 6 0 6 2 6 0 6 2 2 0 6 4 0 0 0 4 0 2 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 6 6 0 4 0 6 2 0 4 2 6 0 2 4 2 4 4 6 4 6 6 6 4 2 2 6 6 4 4 2 2 2 4 6 0 0 0 6 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 2 0 6 6 4 4 6 2 6 2 0 2 4 4 2 4 4 0 0 6 4 4 2 4 2 0 2 2 6 0 0 6 0 0 4 6 2 4 2 4 0 0 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 4 4 0 4 0 4 4 4 4 4 4 4 4 4 4 0 4 4 4 0 4 0 0 4 4 0 0 4 4 4 4 0 4 4 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 72 over Z8 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+4x^39+16x^40+20x^41+37x^42+64x^43+150x^44+208x^45+280x^46+424x^47+550x^48+602x^49+691x^50+734x^51+705x^52+766x^53+717x^54+582x^55+421x^56+362x^57+281x^58+212x^59+161x^60+148x^61+244x^62+282x^63+708x^64+806x^65+1617x^66+1650x^67+3372x^68+3042x^69+5403x^70+4390x^71+6138x^72+4418x^73+5384x^74+3200x^75+3410x^76+1584x^77+1736x^78+750x^79+573x^80+282x^81+205x^82+160x^83+175x^84+188x^85+270x^86+368x^87+537x^88+640x^89+710x^90+652x^91+692x^92+862x^93+668x^94+592x^95+530x^96+396x^97+246x^98+192x^99+137x^100+66x^101+61x^102+8x^103+25x^104+10x^105+9x^106+8x^107+2x^108+1x^110+1x^112 The gray image is a code over GF(2) with n=288, k=16 and d=78. This code was found by Heurico 1.16 in 98.3 seconds.