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 2 1 0 X 1 1 1 1 1 1 2 1 0 0 1 1 X 1 1 1 1 2 2 1 1 1 1 2 1 1 1 1 X 1 X 1 1 1 X 2 1 1 X X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 2 X X+2 X+2 X+2 X+2 X+2 X X+2 2 X+2 2 X 0 2 X+2 0 X X+2 X 2 2 X+2 0 X 0 X X+2 X 2 X 0 2 0 0 X X X X 0 0 X 2 X+2 X+2 X+2 0 X X 2 0 X+2 X 2 0 0 X X+2 2 X+2 X+2 X+2 X 2 0 X X X+2 2 X+2 0 2 X X X 0 0 0 X 0 0 0 X X+2 X+2 X X 2 X+2 X 0 2 0 2 X 0 0 X 2 X+2 X+2 X+2 0 0 2 X+2 X X X+2 2 X X+2 2 X+2 X X+2 X+2 0 X 0 0 2 X+2 0 0 2 X X+2 X 2 X+2 0 0 2 X X X 0 2 X X+2 2 X+2 2 X+2 X+2 2 X X X+2 X+2 X+2 2 0 0 0 X X X+2 X+2 0 0 0 X 0 X X X 0 2 0 X X+2 X X 2 2 X+2 0 2 X X+2 2 X+2 0 2 0 X X 0 X X X+2 X+2 X+2 X X+2 X 0 X 0 2 X+2 X X+2 0 2 X 2 0 X+2 2 X+2 X 0 0 2 X+2 X+2 X 2 X 0 X 0 2 X X+2 2 X 0 X+2 X X+2 2 0 X+2 X X X+2 2 0 X 2 0 0 0 0 X X 2 X+2 X 2 X 0 X 2 X+2 X+2 2 X+2 X 0 X 0 X+2 2 0 0 X+2 0 2 X+2 X+2 X 2 X+2 X X X 2 X+2 X X 0 X+2 X 2 X+2 X 2 X 2 X+2 2 X 2 2 X+2 0 0 2 0 X X X 0 X+2 0 X+2 X+2 2 X+2 2 2 0 X+2 X+2 0 X+2 X 0 2 2 X 2 0 0 0 0 0 0 2 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 2 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+78x^75+140x^76+148x^77+171x^78+214x^79+301x^80+286x^81+306x^82+298x^83+332x^84+416x^85+291x^86+234x^87+199x^88+146x^89+123x^90+90x^91+72x^92+70x^93+56x^94+38x^95+31x^96+16x^97+7x^98+6x^99+11x^100+6x^101+6x^102+2x^103+1x^124 The gray image is a code over GF(2) with n=336, k=12 and d=150. This code was found by Heurico 1.16 in 2.95 seconds.