The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 4 1 1 2 1 2 4 1 0 1 1 1 2 4 1 1 2 0 2 2 0 4 2 1 1 1 0 12 0 4 0 0 4 12 0 0 12 12 8 12 12 8 12 8 8 12 0 4 12 12 4 12 8 12 8 8 4 4 0 8 8 4 8 4 8 12 4 4 8 4 0 4 12 4 4 0 8 0 0 0 0 12 4 0 12 4 0 0 12 12 8 0 8 4 4 0 4 4 8 0 4 0 0 12 4 4 0 8 8 4 4 12 4 4 8 12 0 8 8 12 12 12 12 4 4 12 0 12 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 0 0 0 8 8 8 8 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 0 8 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 8 8 8 0 8 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 0 0 8 0 8 8 8 8 0 0 0 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 0 8 8 8 8 8 0 0 8 8 8 8 0 8 8 0 0 8 8 0 8 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 0 8 8 0 0 8 8 0 0 8 0 8 0 0 8 8 8 0 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 8 8 8 0 0 8 8 8 8 8 0 8 0 8 8 8 8 8 8 0 8 8 8 0 8 8 0 8 0 0 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 0 8 8 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 0 8 0 0 8 8 0 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 8 0 8 8 8 8 0 8 0 8 0 8 0 8 8 8 8 0 0 0 8 0 0 0 generates a code of length 53 over Z16 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+93x^40+8x^41+102x^42+88x^43+246x^44+238x^45+308x^46+518x^47+724x^48+1158x^49+2272x^50+3546x^51+4424x^52+5292x^53+4497x^54+3484x^55+2258x^56+1236x^57+740x^58+492x^59+318x^60+230x^61+187x^62+62x^63+107x^64+30x^65+64x^66+2x^67+20x^68+15x^70+1x^72+6x^74+1x^78 The gray image is a code over GF(2) with n=424, k=15 and d=160. This code was found by Heurico 1.16 in 19.9 seconds.