The generator matrix 1 0 0 0 0 0 1 1 1 1 1 2 1 0 1 0 0 0 0 0 1 2 3 2 1 0 0 0 1 0 0 0 0 1 3 1 2 0 0 0 0 0 1 0 0 0 1 1 2 3 0 0 0 0 0 0 1 0 1 1 0 3 3 1 0 0 0 0 0 0 1 1 2 0 1 1 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 generates a code of length 13 over Z4 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+99x^6+44x^7+304x^8+328x^9+688x^10+1020x^11+930x^12+1368x^13+986x^14+932x^15+679x^16+344x^17+336x^18+52x^19+70x^20+8x^21+3x^22 The gray image is a code over GF(2) with n=26, k=13 and d=6. This code was found by Heurico 1.16 in 0.275 seconds.