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 1 2 2 2 1 2 1 1 2 4 1 4 4 1 1 1 0 4 2 4 1 1 2 2 2 2 1 0 12 0 0 0 4 12 4 0 8 0 12 0 0 4 12 12 8 12 8 12 8 12 12 0 8 4 4 4 8 8 4 12 0 0 12 4 12 0 12 8 4 4 4 12 0 12 8 0 4 12 8 12 0 0 0 12 0 4 4 12 0 0 0 12 8 0 12 12 4 8 8 8 12 12 4 12 8 12 12 8 0 12 8 8 0 8 8 4 12 12 12 0 0 4 0 0 0 4 4 4 0 8 12 4 4 4 0 0 0 0 12 4 0 12 4 0 4 12 12 8 8 8 12 0 12 12 12 4 8 0 8 8 12 4 0 8 12 12 0 0 12 4 4 8 12 12 0 0 0 4 8 4 0 4 12 0 0 4 8 4 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 0 8 8 0 8 0 8 0 0 0 0 8 8 8 8 0 8 0 8 0 8 8 0 8 8 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 0 8 0 0 8 0 8 8 0 8 8 0 0 8 0 0 8 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 8 0 8 0 8 0 8 8 0 0 0 8 0 8 8 0 8 8 0 8 8 8 0 0 0 0 8 0 0 8 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 8 8 8 0 0 0 8 0 8 8 0 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 0 0 8 8 0 0 8 0 8 8 0 8 8 0 0 8 8 8 8 8 8 0 0 0 0 0 0 0 8 8 8 0 0 8 8 0 generates a code of length 54 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+31x^42+78x^43+142x^44+180x^45+335x^46+270x^47+744x^48+436x^49+1831x^50+956x^51+4219x^52+4264x^53+5862x^54+4092x^55+4290x^56+1120x^57+1826x^58+358x^59+692x^60+316x^61+307x^62+118x^63+128x^64+76x^65+39x^66+16x^67+19x^68+8x^69+8x^70+4x^72+1x^74+1x^80 The gray image is a code over GF(2) with n=432, k=15 and d=168. This code was found by Heurico 1.16 in 20.8 seconds.