The generator matrix 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 2 0 0 1 0 0 0 0 1 1 1 2 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 1 0 0 0 2 0 0 0 0 0 1 1 1 0 1 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 2 0 generates a code of length 11 over Z4 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+124x^4+112x^5+721x^6+1056x^7+2710x^8+3984x^9+4636x^10+6080x^11+4636x^12+3984x^13+2710x^14+1056x^15+721x^16+112x^17+124x^18+1x^22 The gray image is a code over GF(2) with n=22, k=15 and d=4. This code was found by Heurico 1.16 in 2.35 seconds.