The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 1 X 2 1 1 1 1 2 X+2 X+2 1 1 1 1 1 X+2 1 1 2 0 1 1 1 1 X+2 1 2 X 1 1 X 1 2 X+2 1 1 1 X+2 1 1 X+2 1 1 X+2 X+2 1 1 2 0 0 1 X+2 1 2 1 1 1 1 X 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X X 0 X 3 1 1 X+1 1 X+2 X+2 1 2 1 X+1 X+2 0 2 3 1 3 3 X+2 1 0 X X+1 1 1 X+2 X 2 0 1 1 1 2 X+2 X+2 1 1 1 0 X 1 X+1 X+1 1 1 X+3 X+1 2 1 1 1 1 0 1 X+3 X+2 1 0 1 X+3 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 X+1 X+2 1 1 3 X X+2 0 2 3 X+2 1 1 3 2 X+1 X+2 X+3 0 0 3 1 X+1 2 1 X+2 1 0 1 1 1 3 2 X+1 2 1 1 X X+3 X+3 2 X X+3 X+2 X+1 X+2 2 X+2 0 1 1 3 X+3 X+2 X X X X+1 0 X 3 1 X+3 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 X 2 0 X X+2 0 X 0 2 2 X+2 0 X+2 2 X 0 X+2 X 0 2 0 0 2 2 X 0 X+2 X 0 0 X X X+2 X 0 X+2 2 X X 0 X 0 0 2 X X+2 2 X+2 0 X 2 0 0 X X X X+2 X+2 X X+2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 0 2 0 0 2 2 2 0 0 2 0 0 2 0 2 2 0 2 0 2 2 0 0 0 0 0 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 0 2 0 0 2 2 2 0 0 2 2 generates a code of length 77 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+163x^68+240x^69+625x^70+680x^71+962x^72+1156x^73+1208x^74+1272x^75+1266x^76+1536x^77+1328x^78+1392x^79+1003x^80+960x^81+793x^82+664x^83+446x^84+192x^85+226x^86+88x^87+91x^88+12x^89+35x^90+33x^92+9x^94+3x^96 The gray image is a code over GF(2) with n=308, k=14 and d=136. This code was found by Heurico 1.16 in 15.3 seconds.