The generator matrix 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 2 2 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 3 0 0 0 0 1 0 1 0 0 2 0 0 0 0 0 1 1 0 3 1 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 2 generates a code of length 10 over Z4 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+188x^4+1128x^6+4006x^8+5752x^10+3964x^12+1176x^14+161x^16+8x^18 The gray image is a code over GF(2) with n=20, k=14 and d=4. This code was found by Heurico 1.16 in 0.922 seconds.