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 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 1 1 1 X 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 0 0 2 2 0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 2 2 0 0 2 2 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 2 2 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 0 0 2 0 2 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 0 2 2 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 2 0 0 0 2 2 0 0 2 2 2 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 2 0 2 2 0 2 2 generates a code of length 78 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+109x^72+128x^76+512x^78+227x^80+46x^88+1x^152 The gray image is a code over GF(2) with n=312, k=10 and d=144. This code was found by Heurico 1.16 in 6.61 seconds.