The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 4 1 1 1 1 0 2 1 4 1 0 2 4 2 1 1 2 4 1 1 2 1 1 1 1 1 1 0 12 0 12 0 12 0 12 0 12 0 4 12 0 12 0 12 0 12 0 12 12 12 12 12 12 8 12 8 4 12 4 12 4 4 12 12 0 0 4 12 12 8 0 8 4 0 8 12 12 0 0 0 8 0 0 0 0 0 0 0 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 0 8 8 8 0 8 0 8 0 0 8 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 8 0 0 8 8 8 0 0 8 0 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 8 8 0 8 8 0 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 0 8 8 8 0 8 8 0 8 8 8 0 0 8 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 0 8 8 0 8 0 8 8 0 0 0 8 0 0 8 8 8 8 0 8 8 0 8 0 0 0 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 0 0 8 8 0 8 0 8 8 8 8 0 8 0 0 8 8 8 0 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 0 8 0 8 8 8 0 8 0 8 0 0 0 0 0 8 0 0 8 0 8 8 0 0 8 0 8 8 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 0 8 8 0 8 8 0 0 8 8 0 8 8 8 0 0 0 0 8 8 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 8 0 8 0 8 0 8 0 0 8 0 0 0 8 0 0 0 0 8 8 8 0 8 8 8 0 8 8 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 8 8 0 0 0 8 0 8 0 0 0 0 8 8 8 8 8 0 0 8 0 8 8 8 0 0 8 0 0 0 8 generates a code of length 51 over Z16 who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+48x^38+6x^39+119x^40+112x^41+193x^42+72x^43+279x^44+544x^45+581x^46+1130x^47+1170x^48+5964x^49+1665x^50+8848x^51+1747x^52+6064x^53+1242x^54+1130x^55+568x^56+536x^57+235x^58+72x^59+141x^60+80x^61+111x^62+6x^63+61x^64+12x^65+19x^66+9x^68+1x^70+1x^72+1x^86 The gray image is a code over GF(2) with n=408, k=15 and d=152. This code was found by Heurico 1.16 in 20.1 seconds.