The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 0 1 1 X+2 1 1 1 1 X 0 1 1 1 0 1 1 1 X+2 1 1 X+2 0 1 1 1 1 1 X+2 1 0 X+2 2 1 1 1 0 1 1 1 1 1 1 X 2 1 0 1 1 1 X+2 X 1 1 1 1 1 1 X+2 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 1 0 3 1 X+2 X+1 X+3 0 1 1 X+2 3 3 1 0 X+2 X+1 1 X+1 3 1 1 3 0 X+1 3 X+2 1 0 1 1 1 3 X 3 1 0 X+1 2 X+1 X+2 1 1 1 2 1 X+1 X+3 1 1 1 2 X+3 X+3 2 2 3 1 3 X+1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 2 0 0 0 0 2 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 0 2 0 0 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 2 2 0 2 2 2 0 2 0 0 2 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 2 0 0 2 2 0 0 0 0 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 0 0 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 0 0 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 2 0 2 2 2 generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+18x^62+34x^63+57x^64+148x^65+143x^66+402x^67+229x^68+800x^69+284x^70+1100x^71+339x^72+1176x^73+332x^74+1100x^75+256x^76+800x^77+174x^78+402x^79+102x^80+148x^81+45x^82+34x^83+19x^84+17x^86+11x^88+6x^90+6x^92+2x^94+2x^96+2x^98+2x^100+1x^102 The gray image is a code over GF(2) with n=292, k=13 and d=124. This code was found by Heurico 1.16 in 5.04 seconds.