New 3-designs from Goethals codes over

We consider t-designs constructed from codewords in the Goethals code Gm over Z4. Some new designs are constructed from the support (size 7) of minimum Lee weight codewords for m=5 and m=7. The parameters of the designs are 3-(25,7,105), 3-(25,7,7) and 3-(27,7,560).