Sum to twelve!? and prime! Why? But ok, here comes a suggestion (crunch only, no fluff). Human edge 7 mage. This mage cover all important magic skills and is quite capable at mundane stuff (especially if edge is used). Most Mentor Spirits are nice, chose one that fits. Probably even more broken to do a MysAd but then you lose astral projection.
Priorities: Magic A, Attributes A, Skills C, Meta C, Resources E
Attributes: Bod 3, Agi 5, Rea 3, Str 2, Cha 5, Int 7, Log 3, Wil 5, Edge 7, Magic 6
Pos Qualities: Except Att (Intuition), Spirit Affinity, Mentor Spirit, Focused Concentration 1
Neg Qualities: Up to 35p negatives to be chosen
Skills: (Power Focus included)
6(8 ) Automatics 1 + spec
12 Assensing 5
15(17) Binding 6 + spec
15(17) Spellcasting 6 + spec
15(17) Summoning 6 + spec
12 Counterspelling 6
8(10) Perception 1 + spec
6(8 ) Con 1 + spec
6 Etiquette 1 (Influence Group)
6 Negotiation 1 (Influence Group)
6 Leadership 1 (Influence Group)
6 Sneaking 1 (Stealth Group)
6 Palming 1 (Stealth Group)
8 Disguise 1 (Stealth Group)
Spells: Ten of choice. Suggestions: Clout, Ball Lightning, Imp Invisibility, Heal, Levitate
Gear: Power Focus rating 3 + 46000 Nuyen to spend
Karma: 10 Str, 30 pos Qualities, 18 Power Focus. (12 left to spend if 35 p neg qualities)
As your group seems to lack a Face you could also go Charisma 9 (or even 10) Elf.