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 2 0 X 2 X 0 1 0 X X 0 X X X 1 X X X 1 X 1 X 0 1 X 1 1 X 2 1 2 1 1 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 2 X X X X 2 2 X+2 X+2 2 X+2 X 2 X X 0 0 X X+2 X+2 X 0 X+2 X 0 0 X 2 X X+2 0 X 2 X+2 X 0 0 2 X+2 X 0 X+2 0 2 X+2 0 X 2 0 X 2 X+2 2 X+2 X+2 X X+2 X 0 X+2 0 0 X 0 0 0 0 0 0 0 X+2 2 X X X X 0 X X 0 X+2 2 X 2 2 X+2 0 X+2 X+2 2 X X X X X+2 X 2 2 2 X 0 0 X X+2 0 X+2 X 2 X 0 2 X 0 2 X 2 X X+2 2 X+2 X+2 2 2 X 0 2 X+2 0 0 X+2 X X+2 X+2 0 X X+2 X+2 0 X X+2 X 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 X 0 2 0 2 2 0 2 X 2 2 X X 0 X+2 2 X X X+2 X X 2 X X X+2 X+2 0 0 X+2 X+2 X 2 0 0 0 X+2 X+2 X 2 0 X+2 2 X 0 0 2 0 X 0 X X+2 X+2 0 X+2 0 X+2 X X+2 0 X 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 X 2 2 X+2 0 0 X+2 2 2 2 0 0 0 X X X+2 2 2 2 X+2 2 2 X X 2 X X+2 X X 0 X+2 X+2 0 X X 2 0 X 0 2 X+2 X+2 X+2 X+2 0 X 2 0 X 2 2 2 X+2 0 X+2 X+2 0 X X 0 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 2 X X+2 X 2 X 0 X 2 2 0 0 X 2 X 0 0 2 X+2 0 X+2 X 0 X 2 X+2 0 0 2 X X 2 X X X 0 2 X 0 0 2 2 X 2 2 X X+2 X 2 X 0 X X+2 2 X X X 0 X+2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 2 0 0 2 0 2 0 2 0 0 0 2 2 0 0 0 0 2 0 0 2 0 0 0 2 2 0 0 0 2 0 2 0 2 2 0 2 0 2 2 2 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+74x^69+167x^70+258x^71+298x^72+410x^73+462x^74+570x^75+778x^76+936x^77+1045x^78+1166x^79+1373x^80+1400x^81+1396x^82+1214x^83+1079x^84+972x^85+668x^86+536x^87+425x^88+276x^89+281x^90+152x^91+103x^92+138x^93+76x^94+64x^95+35x^96+18x^97+1x^98+8x^99+3x^100+1x^116 The gray image is a code over GF(2) with n=324, k=14 and d=138. This code was found by Heurico 1.16 in 28.8 seconds.