The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 1 1 1 2 1 2 2 2 2 2 0 2 1 2 1 1 1 1 1 1 2 1 2 2 2 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 2 0 0 0 2 2 0 0 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 0 2 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 0 2 2 0 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 2 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 2 0 0 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 2 2 2 generates a code of length 73 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+58x^54+152x^56+227x^58+333x^60+424x^62+600x^64+950x^66+1347x^68+1857x^70+2202x^72+2203x^74+1892x^76+1430x^78+1017x^80+596x^82+401x^84+290x^86+174x^88+113x^90+55x^92+34x^94+13x^96+6x^98+3x^100+3x^102+1x^106+1x^112+1x^116 The gray image is a code over GF(2) with n=146, k=14 and d=54. This code was found by Heurico 1.16 in 71.9 seconds.