The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 2 X 2 2 1 1 1 1 X+2 1 X 1 X 1 1 X+2 1 1 1 1 2 2 1 X 2 1 2 1 1 0 1 0 1 1 X+2 1 1 1 X+2 X 1 2 1 1 2 0 2 1 X+2 1 X+2 1 1 2 1 0 2 2 1 1 1 X 1 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 1 X+2 1 1 X+1 X+2 2 3 1 3 1 X+3 1 2 2 X 0 X+3 X+2 X+1 X 1 X 1 2 1 1 X 3 1 2 1 0 X+2 1 X+1 3 X+1 1 1 X X 3 2 1 1 1 2 1 X+3 X+2 X 2 1 X+1 1 X+2 1 2 X+1 X 1 1 1 0 0 1 1 X+3 X+2 1 X+1 X+2 1 1 0 1 1 X X+1 X+3 0 X+3 X 0 0 X+2 1 X+3 X+3 2 1 3 1 X+2 X+2 1 2 0 0 1 X+1 3 X+3 3 X+3 3 X X X+2 1 X X+1 2 2 X+1 X+3 1 X 0 3 X+3 X+2 3 2 X+1 1 2 1 2 1 0 1 X+2 1 3 3 1 1 3 0 0 0 2 0 0 0 0 2 2 0 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 0 0 0 2 2 0 2 2 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 2 2 2 0 0 0 0 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 2 2 2 2 2 0 0 2 2 generates a code of length 76 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+91x^68+272x^69+355x^70+580x^71+551x^72+802x^73+607x^74+796x^75+559x^76+724x^77+508x^78+616x^79+424x^80+394x^81+267x^82+260x^83+148x^84+106x^85+44x^86+44x^87+10x^88+4x^89+10x^90+8x^91+6x^92+2x^93+1x^94+2x^96 The gray image is a code over GF(2) with n=304, k=13 and d=136. This code was found by Heurico 1.16 in 4.25 seconds.