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 X 2 X 2 X 0 0 1 1 1 X X 2 1 1 1 1 X 1 X 1 1 X 0 0 X X 0 1 X 1 X 1 0 2 X 0 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X 2 0 X X 0 X X 2 0 X+2 0 X X X 2 X+2 2 X X+2 X X 0 2 2 0 2 2 0 2 0 0 X X 0 X 2 X X+2 X 0 X+2 2 X+2 X+2 X X X X 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 X X 0 X+2 0 0 2 0 X X+2 2 X 2 0 X X+2 X X 2 X 2 X+2 X X X+2 0 0 X+2 X+2 2 X X+2 2 2 0 0 0 0 0 0 X X+2 0 2 X+2 X+2 2 0 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 2 2 X+2 2 X X+2 2 0 0 X X+2 X+2 0 X+2 X X+2 X+2 0 X X 0 X 0 0 X X 0 0 2 X 0 2 0 0 X+2 X X X+2 X 0 2 X 2 X 0 X 2 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 2 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+196x^66+16x^67+363x^68+48x^69+592x^70+204x^71+726x^72+316x^73+855x^74+444x^75+877x^76+460x^77+820x^78+292x^79+670x^80+180x^81+394x^82+68x^83+305x^84+20x^85+176x^86+111x^88+35x^90+15x^92+4x^94+3x^96+1x^104 The gray image is a code over GF(2) with n=304, k=13 and d=132. This code was found by Heurico 1.16 in 51.6 seconds.