The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 2 1 1 1 0 1 2 0 1 1 0 1 0 0 0 0 0 2 3 2 1 1 1 2 1 0 2 0 0 1 2 0 0 0 1 0 0 0 0 0 1 3 3 2 3 1 2 2 1 3 1 0 2 0 0 0 0 1 0 0 0 0 0 0 0 0 3 3 3 2 1 2 3 3 2 2 0 0 0 0 1 0 0 1 0 3 2 1 1 2 3 2 3 3 0 3 3 2 0 0 0 0 0 1 0 1 2 2 3 2 1 0 0 3 0 1 3 2 0 0 0 0 0 0 0 0 1 1 3 2 0 2 3 3 1 1 2 0 2 3 0 0 generates a code of length 22 over Z4 who´s minimum homogenous weight is 13. Homogenous weight enumerator: w(x)=1x^0+32x^13+119x^14+270x^15+474x^16+626x^17+881x^18+1270x^19+1581x^20+1910x^21+2013x^22+1836x^23+1645x^24+1382x^25+969x^26+592x^27+383x^28+202x^29+112x^30+62x^31+12x^32+8x^33+2x^34+2x^35 The gray image is a code over GF(2) with n=44, k=14 and d=13. This code was found by Heurico 1.16 in 11.7 seconds.