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 1 1 1 1 1 1 1 1 1 1 1 1 X X 0 X X X 2 2 X X 2 2 X X 1 0 2 0 0 1 1 0 X X X 0 X X 1 1 1 0 2 1 X 0 X 0 0 0 0 0 0 0 0 2 X X X+2 0 X+2 X+2 0 2 X X+2 X X 2 X 2 X 0 X X+2 2 X X+2 0 2 0 2 2 0 X X+2 X+2 X+2 X 0 X 0 X X X+2 X+2 X+2 X+2 X X+2 X 2 2 2 X+2 X+2 0 X X+2 2 0 0 X X X X X+2 2 X X+2 2 2 X+2 2 0 2 X 2 0 2 2 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 X+2 0 2 X X X+2 X+2 2 X+2 0 0 2 X 0 X+2 X 2 X+2 X 2 X 2 0 X 0 2 0 X X+2 X X 0 2 2 2 X 0 0 X+2 X+2 X X+2 X X+2 X X 2 0 0 2 X 2 0 0 2 2 0 2 X 0 X X X 2 2 0 0 0 X 0 0 0 X X+2 X X X+2 0 X 2 0 X+2 X+2 2 X+2 X+2 2 0 X 0 2 X X X X 2 0 2 X 2 2 X 2 X 2 2 X X+2 0 0 X X+2 X+2 X+2 2 X 0 X X X+2 X+2 X X 0 2 X+2 2 X X X 2 0 2 2 X X 0 0 X+2 2 X+2 2 X 2 X+2 X+2 0 2 0 2 X+2 0 0 0 0 X 0 X X X 2 X X X 2 2 X+2 X+2 2 X+2 2 X+2 2 X+2 X 2 X 0 X+2 2 X+2 X+2 X X X X+2 X 2 0 2 X 2 2 X 0 0 2 X+2 X+2 2 2 0 2 0 X X+2 0 X+2 X+2 X X+2 0 0 X+2 0 X+2 X 2 X+2 2 0 2 X X X+2 X+2 0 0 X 2 2 X 0 2 0 X+2 X 0 0 0 0 0 X X 2 X+2 X+2 X X X+2 0 X 2 2 2 X X+2 0 0 2 2 X 0 X 2 2 X+2 X+2 X+2 X+2 X+2 2 X+2 2 2 X X+2 X+2 0 X+2 X 0 X+2 X X+2 X 0 2 X X 2 0 0 2 0 X X+2 X 2 X 2 X 0 0 0 X+2 2 0 0 2 0 X+2 X+2 X 2 X 0 X+2 0 X+2 0 2 X 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 2 0 0 2 0 0 2 0 0 2 0 2 2 0 2 0 0 0 2 2 0 2 0 0 0 0 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+191x^74+4x^75+500x^76+48x^77+771x^78+148x^79+999x^80+376x^81+1366x^82+632x^83+1542x^84+824x^85+1783x^86+876x^87+1471x^88+624x^89+1289x^90+352x^91+964x^92+168x^93+623x^94+32x^95+414x^96+8x^97+194x^98+4x^99+113x^100+39x^102+11x^104+16x^106+1x^116 The gray image is a code over GF(2) with n=344, k=14 and d=148. This code was found by Heurico 1.16 in 29.5 seconds.