The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 generates a code of length 13 over Z4 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+102x^4+216x^6+1579x^8+4064x^10+10884x^12+9168x^14+5351x^16+864x^18+502x^20+24x^22+13x^24 The gray image is a code over GF(2) with n=26, k=15 and d=4. This code was found by Heurico 1.16 in 1.66 seconds.