The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 0 1 1 1 1 1 1 1 12 1 1 1 1 1 1 1 2 2 2 2 1 0 1 2 2 0 2 12 6 0 6 12 10 0 6 12 10 4 10 0 6 6 8 14 2 10 0 10 12 6 10 0 2 10 2 0 12 8 10 12 10 6 8 0 6 2 6 6 6 0 0 8 0 0 0 0 8 0 0 8 0 0 8 8 8 8 8 8 0 8 0 8 0 8 0 8 8 8 0 0 8 8 0 0 0 0 8 8 0 0 0 8 0 0 0 0 8 0 0 0 8 0 8 8 0 8 8 0 8 0 0 0 8 0 0 0 8 8 0 8 8 0 0 8 0 8 8 0 8 0 0 8 8 0 8 8 0 0 0 0 0 8 0 0 8 8 0 0 8 0 0 8 8 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 0 0 0 8 0 8 0 0 0 8 8 0 8 0 0 0 0 0 8 0 8 0 8 0 0 0 8 8 0 0 8 8 8 0 8 8 8 8 8 8 0 0 0 8 8 8 0 8 8 8 8 0 8 8 8 8 0 0 0 0 0 0 0 8 8 8 0 8 8 0 0 0 8 8 0 8 8 0 0 8 8 0 8 0 8 0 8 8 8 8 8 8 8 8 8 8 8 0 8 0 8 generates a code of length 44 over Z16 who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+68x^38+64x^39+206x^40+176x^41+458x^42+784x^43+624x^44+800x^45+433x^46+160x^47+175x^48+48x^49+52x^50+16x^51+15x^52+10x^54+2x^56+2x^58+1x^62+1x^68 The gray image is a code over GF(2) with n=352, k=12 and d=152. This code was found by Heurico 1.16 in 23.9 seconds.