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 2 1 0 1 1 1 1 1 1 X 1 1 X 1 1 1 1 X 1 1 1 0 0 1 1 2 1 1 1 1 0 1 1 1 1 X 1 0 X 0 X 0 0 X X+2 0 2 X X+2 0 X+2 2 X+2 X 0 2 X 2 X+2 0 X+2 0 2 X X 2 0 X X 0 2 X X+2 0 2 X 0 0 X X+2 X X+2 0 X+2 X 2 X X X 0 0 X+2 2 2 X 2 0 X X 2 0 X+2 X+2 2 2 2 2 X+2 X 0 2 X 2 X 2 0 0 0 2 X X 0 0 X X 0 X+2 X 0 2 X X 0 2 X+2 X 2 X 0 X+2 0 0 2 X+2 X 0 X X 2 0 X+2 X+2 2 0 X X 0 0 X+2 2 X+2 2 X X+2 X+2 0 X 2 X+2 X 2 X 0 X+2 X 0 2 X 2 0 X+2 X 0 2 X+2 2 X 0 2 0 2 X X+2 2 0 X+2 X+2 0 X X+2 2 0 0 X X 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 0 0 2 0 0 0 0 2 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 0 2 0 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 0 2 0 2 0 2 2 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+97x^76+122x^78+32x^79+201x^80+128x^81+220x^82+192x^83+271x^84+128x^85+190x^86+32x^87+164x^88+114x^90+55x^92+48x^94+42x^96+10x^98+1x^148 The gray image is a code over GF(2) with n=336, k=11 and d=152. This code was found by Heurico 1.16 in 0.843 seconds.