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 2 X X 0 1 X 0 X X 1 1 X X 1 1 X 1 X 1 2 X 1 1 2 1 X 1 1 X X 2 X 1 0 X 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X 2 0 X X 0 X X 2 0 X 2 X+2 2 2 0 2 X 2 X X+2 X 0 0 X+2 X 0 2 0 X 2 2 2 0 0 X+2 X+2 2 2 0 X 0 X X 2 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 X X 0 X+2 0 0 2 0 X 2 X+2 X 2 X+2 X+2 X 0 X 2 2 X 0 X X+2 X+2 2 X 0 0 0 X+2 X+2 X 2 0 0 2 2 0 X+2 X+2 X+2 X+2 X 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 2 2 X+2 2 X X+2 2 0 0 X X X+2 X X 2 0 0 X+2 0 0 X+2 X+2 X+2 0 2 2 X X+2 X X X+2 X X+2 X+2 2 X 2 0 X+2 X+2 2 0 0 X 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 2 0 0 2 2 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 2 0 2 generates a code of length 72 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+167x^62+12x^63+402x^64+40x^65+523x^66+188x^67+714x^68+244x^69+864x^70+612x^71+942x^72+372x^73+852x^74+404x^75+658x^76+92x^77+470x^78+64x^79+245x^80+20x^81+157x^82+89x^84+34x^86+18x^88+4x^90+2x^92+1x^94+1x^100 The gray image is a code over GF(2) with n=288, k=13 and d=124. This code was found by Heurico 1.16 in 8 seconds.