I would use something along the following lines:
Sir,
My constant argument in this case has been that I was not parked on the footway and that the edge of the carriageway lay behind my car and not, as asserted by the council, in front.
In their evidence the authority have captured this point and I refer you to their evidence(wherever it is e.g. page and paragraph) in which they state:
The carriageway is actually set apart by the vented bricks to identify the kerb, in order to stop motorists blocking the access to emergency vehicles.
I also refer you to the signed parking places along this road, each of which reserves an area beyond the 'vented bricks' for the parking of vehicles(utilising the alternative -to white lines- form of road markings permitted under para.2(3) to Part 5 of Schedule 7 to the Traffic Signs etc. Regs). In none of these cases does the traffic sign indicate that the area is situated on the footway, which would require the use of the sign specified for this purpose at Item 4 in the Part 4 sign table in Schedule 4 to the Traffic Signs etc. Regs. I concluded and would still conclude that the traffic signs placed by the council indicate parking places placed on the carriageway and bounded by the 'vented bricks' on one side and kerbstones (laid flush with the footway and marking the edge of the carriageway to the rear.
The configuration where I parked is exactly the same i.e. 'vented bricks' to the front and kerbstones to the rear. I therefore ask the adjudicator to accept that I was parked on an unrestricted length of carriageway and not footway.
2 (3) The bay may be varied to contrast, in pattern or colour, from the surrounding parts of the road and any adjoining bays, in which case the marking may be omitted.