The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 0 0 generates a code of length 19 over Z4 who´s minimum homogenous weight is 8. Homogenous weight enumerator: w(x)=1x^0+105x^8+280x^12+35x^14+435x^16+168x^18+2048x^19+168x^20+435x^22+35x^24+280x^26+105x^30+1x^38 The gray image is a code over GF(2) with n=38, k=12 and d=8. This code was found by Heurico 1.16 in 0.13 seconds.