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 X 0 1 1 1 1 1 X 1 X 1 1 0 1 1 1 0 1 X 2 1 1 X 1 X 1 X 2 1 0 1 X 1 1 1 2 2 X 1 1 0 1 X 1 2 1 X 1 1 0 X 0 0 0 0 0 0 2 X X+2 X+2 X X X+2 X+2 2 2 0 X X X+2 X 0 X X 0 X+2 X 2 2 2 X+2 X+2 0 X+2 X+2 X 2 X+2 X+2 X+2 0 X 2 X+2 0 0 2 X X 0 2 X+2 2 2 2 2 X X+2 2 2 2 X X+2 X X+2 0 0 X+2 X 2 X 0 0 0 X 0 X+2 2 X 0 0 0 X+2 0 0 X 0 0 0 X X+2 X+2 X X 2 X X 2 0 2 X+2 X+2 X+2 0 X X+2 X+2 0 X+2 X+2 2 2 0 0 2 2 X+2 0 X+2 X+2 X+2 2 2 X+2 X 2 X 0 0 X X+2 X 2 0 X X X+2 X 0 X+2 X+2 X+2 X 2 X+2 0 X+2 X+2 0 2 X+2 2 X X X 0 0 2 0 2 0 X X+2 0 0 X X+2 X+2 0 0 0 X 0 X X X 0 2 0 X X+2 X+2 X 2 2 0 0 0 2 2 X+2 X X+2 X X 0 X 2 X+2 X+2 X+2 X X+2 X+2 X+2 X X 0 2 X+2 0 X+2 X 2 X+2 X X+2 2 X+2 2 X+2 X 2 0 0 2 0 0 2 X+2 X 0 0 X+2 X+2 0 0 2 X X X+2 2 X+2 0 X X 0 X+2 0 X+2 2 X X+2 0 0 0 0 X X 2 X+2 X 2 X 0 X 0 X X X+2 X+2 0 2 X X 2 0 2 X+2 X+2 0 X 0 2 X X+2 X X+2 X+2 2 2 0 0 X 0 2 X 2 2 0 X X 0 X 2 X+2 2 0 X 0 X+2 2 X+2 X 0 0 0 2 0 0 0 X X X+2 2 0 X 2 X+2 X+2 2 X X+2 X 0 X 2 0 0 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 2 0 2 0 2 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 2 2 2 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+123x^76+8x^77+278x^78+56x^79+355x^80+128x^81+442x^82+176x^83+475x^84+248x^85+422x^86+248x^87+308x^88+112x^89+228x^90+32x^91+179x^92+16x^93+106x^94+67x^96+50x^98+23x^100+10x^102+4x^104+1x^128 The gray image is a code over GF(2) with n=340, k=12 and d=152. This code was found by Heurico 1.16 in 2.03 seconds.