The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 1 2 12 1 2 1 0 1 1 1 2 1 12 1 2 0 1 12 2 2 1 0 1 2 1 1 1 4 2 1 1 1 1 0 2 12 6 0 6 12 10 0 6 12 10 0 6 6 2 12 10 12 10 2 6 6 0 2 10 0 10 10 12 2 6 6 2 6 2 10 6 12 2 6 10 6 0 12 0 6 6 4 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 0 8 8 8 0 8 8 0 8 8 0 8 0 0 8 8 8 8 0 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 0 8 0 8 0 0 8 0 8 0 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 8 0 8 0 8 8 8 0 0 0 8 8 8 8 0 8 8 0 0 8 0 8 8 0 0 8 8 8 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 8 0 8 0 0 8 8 8 0 8 8 0 0 8 8 0 8 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 8 0 8 0 0 0 0 8 0 8 8 8 8 0 8 0 0 8 0 0 0 0 8 8 0 8 8 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 0 8 0 0 0 8 0 8 8 8 0 0 8 8 8 0 8 0 8 0 0 0 0 8 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 0 8 0 8 0 0 8 8 0 8 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 8 8 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 0 8 8 0 8 0 0 8 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 8 8 0 8 8 8 8 8 8 0 0 8 0 0 generates a code of length 51 over Z16 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+107x^40+8x^41+76x^42+76x^43+441x^44+356x^45+804x^46+1488x^47+2304x^48+3744x^49+4440x^50+5064x^51+4610x^52+3704x^53+2120x^54+1488x^55+973x^56+376x^57+220x^58+76x^59+197x^60+4x^61+20x^62+53x^64+16x^68+2x^72 The gray image is a code over GF(2) with n=408, k=15 and d=160. This code was found by Heurico 1.16 in 15.6 seconds.