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 X 1 1 1 1 1 1 X X 1 X 1 1 1 0 1 1 1 1 X 1 2 1 1 1 X X 1 1 2 X 1 0 1 0 1 1 0 X 2 0 1 1 X X 0 1 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X 0 X+2 2 X 0 X X 0 2 2 0 X X 0 X+2 X X+2 X X+2 X 0 X+2 X+2 2 0 2 0 X+2 X+2 2 0 X 2 X+2 2 X X+2 2 0 X 0 X X X+2 0 0 X X+2 X 0 2 X+2 2 X 2 X 0 0 2 X+2 0 0 X 2 X+2 X+2 0 2 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 2 X X 2 0 2 X+2 2 X 2 2 X+2 0 X+2 X X 0 0 X 0 X X X+2 X+2 X+2 0 0 X 0 2 0 2 2 X 0 0 X 2 2 X X+2 X 0 0 X+2 2 X 0 2 X+2 0 0 X 2 X 2 2 0 0 X X+2 2 X X+2 X X 0 2 0 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 X X X+2 X 2 0 X+2 X+2 X+2 0 2 0 0 0 X 2 2 2 2 X 2 X 0 X X 0 2 X+2 0 X X+2 X 2 0 2 X X+2 0 X+2 0 X+2 2 X 0 X X 0 0 X 0 X 2 0 X+2 0 X 0 X+2 X 2 X X+2 2 0 2 X X 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 0 2 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+62x^75+125x^76+156x^77+201x^78+192x^79+269x^80+282x^81+322x^82+384x^83+369x^84+372x^85+235x^86+268x^87+190x^88+132x^89+144x^90+56x^91+99x^92+60x^93+43x^94+42x^95+27x^96+18x^97+14x^98+18x^99+7x^100+4x^101+1x^102+2x^103+1x^128 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 31.1 seconds.