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 4 1 1 2 4 1 4 2 1 0 1 1 1 1 0 1 4 1 2 1 4 1 1 0 12 0 4 0 0 4 12 0 8 4 0 4 8 4 4 0 8 0 4 12 0 4 8 12 8 4 12 4 8 8 8 4 0 12 12 4 8 8 4 8 0 12 0 4 0 8 4 12 12 4 0 0 0 0 12 4 0 12 4 0 0 4 0 8 12 12 8 4 8 4 4 4 0 8 4 8 8 4 4 12 4 4 4 4 12 12 8 4 4 4 8 8 0 4 12 8 0 12 4 0 12 0 12 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 8 8 0 8 8 0 8 0 0 8 8 0 8 8 0 8 8 8 0 0 8 0 0 8 0 0 8 8 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 8 0 0 8 8 8 8 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 8 8 0 8 8 0 0 8 0 8 0 0 0 0 8 8 0 0 8 0 0 8 0 0 8 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 0 8 8 0 8 0 8 0 8 0 0 8 0 8 8 0 0 0 8 0 8 8 0 8 8 8 8 8 0 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 8 8 0 0 8 8 0 8 8 0 8 8 0 0 0 8 8 0 8 8 0 8 8 8 0 8 8 0 8 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 8 0 0 0 8 8 0 8 8 0 8 0 8 0 8 0 8 0 8 8 8 0 0 0 0 0 8 8 8 8 8 8 0 0 0 0 8 generates a code of length 53 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+31x^42+160x^44+8x^45+375x^46+136x^47+497x^48+216x^49+1456x^50+1896x^51+2626x^52+1608x^53+2613x^54+1944x^55+1473x^56+200x^57+487x^58+120x^59+281x^60+16x^61+137x^62+66x^64+18x^66+12x^68+3x^70+3x^72+1x^76 The gray image is a code over GF(2) with n=424, k=14 and d=168. This code was found by Heurico 1.16 in 5.65 seconds.