The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 1 1 X+2 1 1 0 X+2 1 1 1 X 1 0 1 1 1 1 2 1 0 1 1 1 X+2 0 1 X+2 2 1 1 1 X+2 1 1 X 2 1 1 1 2 1 1 1 1 2 X+2 2 1 1 1 1 1 1 1 X 1 1 1 1 1 X 2 2 1 1 1 1 1 0 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 X X+3 1 1 3 0 1 1 0 1 X+1 X+2 3 2 1 X+1 1 X+1 0 X+2 1 1 X+1 1 1 3 3 X+2 1 3 X+3 1 1 3 X+1 X+1 1 0 1 X+3 X 1 1 1 0 X+2 X+3 X+3 2 X+3 3 1 0 X+2 1 2 X+1 X+2 1 1 0 2 X+3 0 2 X 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 0 2 2 0 2 0 2 0 2 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 2 0 2 0 0 0 2 0 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 0 2 0 2 2 2 2 0 2 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 2 2 0 0 2 2 2 2 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 0 0 0 0 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 0 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 0 2 2 0 0 0 2 0 2 0 2 2 0 2 2 2 generates a code of length 84 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+214x^76+252x^78+724x^80+508x^82+754x^84+532x^86+634x^88+244x^90+202x^92+13x^96+8x^100+2x^104+4x^108+2x^112+2x^116 The gray image is a code over GF(2) with n=336, k=12 and d=152. This code was found by Heurico 1.16 in 2.19 seconds.