Let r be an element of GF(27) with r^3 - r + 1 = 0 and let
f := (x^2 + r*x + 2) * (x^2 + r^9*x + r^3) * (x^2 + r^25*x + 2);
g1 := x^4 + r^9*x^3 + r^17*x^2 + r^16*x + r^17;
g2 := x^4 + r^12*x^3 + r^10*x^2 + r*x + r^23;

Then the curve defined by
y^2 = f*g1
z^2 = f*g2

has genus 11 and has 104 points.

This example was found by searching through curves of the given form.