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 X 0 1 X 0 1 1 1 X 1 0 1 X 1 1 0 1 1 X 1 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 X 1 X X 0 X 1 1 0 0 2 X X 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X+2 0 2 X+2 2 X X+2 X X+2 X+2 X 0 2 X X+2 X+2 X 2 X+2 0 X X 0 0 X+2 X+2 X 0 X+2 2 X X+2 X 0 2 X X X X 0 2 X+2 X+2 X+2 X+2 X X X X+2 X X 2 0 X+2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 2 0 0 2 2 0 0 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 2 2 2 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 2 2 0 2 0 2 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 2 0 2 0 2 2 2 0 2 0 0 0 generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+53x^60+8x^61+62x^62+60x^63+197x^64+116x^65+291x^66+170x^67+554x^68+238x^69+893x^70+280x^71+1086x^72+296x^73+1029x^74+292x^75+836x^76+244x^77+581x^78+156x^79+266x^80+116x^81+127x^82+66x^83+54x^84+6x^85+55x^86+18x^88+23x^90+7x^92+9x^94+2x^98 The gray image is a code over GF(2) with n=292, k=13 and d=120. This code was found by Heurico 1.16 in 7.31 seconds.