Prime p₀= 2428638030958109627 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 4 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 60 62 72 74 114 116
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 116
Found by: Penguin
db: batch=82, k=12, 2 40 2 10 2 4

SPT(16)	2428636078252867447	0 6 30 82 96 154 172 210 226 264 282 340 354 406 430 436	-1952705242180
SPT(16)	2428636179882245119	0 12 28 112 168 178 190 234 238 282 294 304 360 444 460 472	-1851075864508
SPT(16)	2428636319693045221	0 18 28 30 58 118 130 160 168 198 210 270 298 300 310 328	-1711265064406
STPT(10)	2428637040234923039	0 2 18 20 30 32 42 44 60 62	-990723186588
STPT(10)	2428637178270054467	0 2 60 62 72 74 84 86 144 146	-852688055160
STPT(10)	2428637852208373577	0 2 30 32 72 74 114 116 144 146	-178749736050
SPT(16)	2428638618054015667	0 46 72 126 144 154 166 222 244 300 312 322 340 394 420 466	587095906040
SPT(16)	2428638684585653557	0 10 24 30 66 90 132 150 166 184 226 250 286 292 306 316	653627543930
SPT(16)	2428638914807712353	0 6 48 66 80 84 104 120 164 180 200 204 218 236 278 284	883849602726
STPT(10)	2428638947870564459	0 2 18 20 30 32 42 44 60 62	916912454832
STPT(10)	2428638979366478909	0 2 18 20 30 32 42 44 60 62	948408369282