The generator matrix 1 0 0 1 1 1 X 1 1 1 1 X 0 X 1 1 1 X 1 1 1 2 1 X 2 0 X+2 X 1 1 1 0 2 2 1 1 X 0 1 0 0 1 X+3 1 0 3 X+3 X+2 X 1 1 2 X+1 X 1 2 3 3 1 X+3 2 1 X+2 1 2 X+1 0 2 1 1 1 X+2 X+1 1 0 0 1 1 1 0 1 1 3 0 X 1 3 2 X+1 X 1 1 X X+1 X 2 X+3 1 X+3 1 3 1 2 X+2 X+3 X X+2 3 3 0 X+3 0 0 0 X 0 0 0 2 X+2 X+2 X+2 X X X+2 X+2 X+2 2 X+2 X+2 X X 0 X+2 X+2 2 X+2 X 2 2 2 2 X 2 0 2 X+2 X 0 0 0 0 X X+2 2 X 2 0 0 X+2 X X 2 2 X X+2 X X X+2 X+2 X X X+2 X 0 X+2 0 X 2 2 X X+2 0 X X+2 0 0 0 0 0 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+230x^30+256x^31+760x^32+828x^33+1479x^34+1528x^35+2105x^36+1936x^37+2183x^38+1540x^39+1571x^40+860x^41+645x^42+192x^43+163x^44+24x^45+71x^46+4x^47+8x^48 The gray image is a code over GF(2) with n=148, k=14 and d=60. This code was found by Heurico 1.16 in 6.57 seconds.