The generator matrix 1 0 0 0 0 1 1 1 1 0 1 2 1 1 1 0 1 0 0 0 0 1 1 1 1 2 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 2 0 0 0 0 0 1 0 1 0 1 0 1 0 0 3 1 0 0 0 0 0 1 1 0 0 1 1 1 3 1 1 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 generates a code of length 15 over Z4 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+35x^6+32x^7+251x^8+328x^9+1047x^10+1496x^11+2656x^12+3848x^13+4198x^14+5016x^15+4207x^16+3736x^17+2662x^18+1608x^19+1040x^20+280x^21+247x^22+40x^23+37x^24+3x^26 The gray image is a code over GF(2) with n=30, k=15 and d=6. This code was found by Heurico 1.16 in 2.9 seconds.