The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 3 1 0 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 0 generates a code of length 22 over Z4 who´s minimum homogenous weight is 10. Homogenous weight enumerator: w(x)=1x^0+34x^10+8x^11+113x^12+16x^13+204x^14+176x^15+350x^16+520x^17+798x^18+1200x^19+1584x^20+2176x^21+2024x^22+2176x^23+1584x^24+1200x^25+798x^26+520x^27+350x^28+176x^29+204x^30+16x^31+113x^32+8x^33+34x^34+1x^44 The gray image is a code over GF(2) with n=44, k=14 and d=10. This code was found by Heurico 1.16 in 2.19 seconds.