The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 1 2 2 1 2 2 1 1 2 1 0 1 1 0 1 2 1 0 0 1 1 2 0 1 0 0 1 0 0 0 0 0 0 0 1 3 1 3 1 1 3 2 1 2 1 1 1 1 2 1 1 2 0 1 0 1 1 0 2 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 3 1 0 1 0 2 1 1 0 1 2 1 2 3 1 0 2 2 3 3 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 3 1 3 0 2 2 3 3 2 0 0 2 3 3 2 0 3 1 0 2 0 0 1 3 0 0 0 0 0 1 1 0 1 1 0 1 3 3 2 3 0 1 1 2 3 0 1 1 3 0 0 0 3 2 1 3 0 1 1 0 3 2 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 0 2 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 2 2 generates a code of length 37 over Z4 who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+214x^26+841x^28+1784x^30+2961x^32+4611x^34+5863x^36+5924x^38+4824x^40+3169x^42+1647x^44+624x^46+230x^48+53x^50+17x^52+4x^54+1x^58 The gray image is a code over GF(2) with n=74, k=15 and d=26. This code was found by Heurico 1.16 in 87.1 seconds.