\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}

\usepackage{pgfplots}

\begin{document}
\begin{preview}
\begin{tikzpicture}
    \begin{axis}[
    view = {120}{35},% important to draw x,y in increasing order
    xmin = 0,
    ymin = 0,
    xmax = 4,
    ymax = 4,
    zmin = 0,
    unbounded coords = jump,
    colormap={pos}{color(0cm)=(white); color(6cm)=(blue)}
    ]
    \addplot3[surf,mark=none] coordinates {
        (0,0,0.0) (0,0,0.0) (0,1,0.0) (0,1,0.0) (0,2,0.0) (0,2,0.0) (0,3,0.0) (0,3,0.0) (0,4,0.0) (0,4,0.0)

(0,0,0.0) (0,0,2) (0,1,2) (0,1,3) (0,2,3) (0,2,1) (0,3,1) (0,3,0) (0,4,0) (0,4,0.0) (1,0,0.0)

(1,0,2) (1,1,2) (1,1,3) (1,2,3) (1,2,1) (1,3,1) (1,3,0) (1,4,0) (1,4,0.0)

(1,0,0.0) (1,0,0) (1,1,0) (1,1,6) (1,2,6) (1,2,0) (1,3,0) (1,3,0) (1,4,0) (1,4,0.0) (2,0,0.0)

(2,0,0) (2,1,0) (2,1,6) (2,2,6) (2,2,0) (2,3,0) (2,3,0) (2,4,0) (2,4,0.0)

(2,0,0.0) (2,0,1) (2,1,1) (2,1,0) (2,2,0) (2,2,0) (2,3,0) (2,3,4) (2,4,4) (2,4,0.0) (3,0,0.0)

(3,0,1) (3,1,1) (3,1,0) (3,2,0) (3,2,0) (3,3,0) (3,3,4) (3,4,4) (3,4,0.0)

(3,0,0.0) (3,0,0) (3,1,0) (3,1,0) (3,2,0) (3,2,0) (3,3,0) (3,3,0) (3,4,0) (3,4,0.0) (4,0,0.0)

(4,0,0) (4,1,0) (4,1,0) (4,2,0) (4,2,0) (4,3,0) (4,3,0) (4,4,0) (4,4,0.0)

(4,0,0.0) (4,0,0.0) (4,1,0.0) (4,1,0.0) (4,2,0.0) (4,2,0.0) (4,3,0.0) (4,3,0.0) (4,4,0.0) (4,4,0.0)
    };
    \end{axis}
\end{tikzpicture}
\end{preview}
\end{document}