The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 2 0 1 2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 3 1 2 1 1 2 2 0 3 0 0 1 0 0 0 0 0 0 1 1 1 3 2 1 1 2 1 2 0 1 2 0 0 0 1 0 0 0 0 1 0 3 1 0 1 1 3 2 2 1 0 3 3 0 0 0 0 1 0 0 0 1 1 0 3 0 1 2 0 1 1 2 3 3 2 0 0 0 0 0 1 0 1 0 1 3 2 2 1 3 0 2 1 1 1 3 2 0 0 0 0 0 0 1 1 3 2 0 3 3 2 0 1 3 0 2 1 2 3 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 2 2 2 2 2 0 2 generates a code of length 22 over Z4 who´s minimum homogenous weight is 13. Homogenous weight enumerator: w(x)=1x^0+110x^13+285x^14+484x^15+806x^16+1234x^17+1848x^18+2550x^19+3256x^20+3822x^21+3930x^22+3758x^23+3328x^24+2598x^25+1912x^26+1298x^27+760x^28+412x^29+209x^30+102x^31+41x^32+16x^33+8x^34 The gray image is a code over GF(2) with n=44, k=15 and d=13. This code was found by Heurico 1.10 in 9.06 seconds.