Prime p₀= 2226168679679203949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 40 2 46 2 52 2 154 2 (?)
a_n: 0 2 30 32 138 140 180 182 228 230 282 284 438 440
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 440
Found by: FritzB
db: batch=81, k=14, 28 106 40 46 52 154

SPT(16)	2226167355934183513	0 10 18 46 66 108 120 126 148 154 166 208 228 256 264 274	-1323745020436
SPT(20)	2226167573038349777	0 56 92 132 156 204 240 246 254 260 336 342 350 356 392 440 464 504 540 596	-1106640854172
SPT(16)	2226167733032110739	0 14 44 68 84 144 158 198 200 240 254 314 330 354 384 398	-946647093210
SPT(16)	2226168072392033533	0 4 40 46 88 96 100 154 180 234 238 246 288 294 330 334	-607287170416
SPT(16)	2226168124275164929	0 34 84 118 142 238 244 250 312 318 324 420 444 478 528 562	-555404039020
TPT(14)	2226168430429702019	0 2 30 32 42 44 60 62 72 74 258 260 282 284	-249249501930
SPT(16)	2226168934758530059	0 18 34 48 70 78 84 100 132 148 154 162 184 198 214 232	255079326110
STPT(10)	2226169162898311661	0 2 30 32 60 62 90 92 120 122	483219107712
SPT(16)	2226169538618237701	0 30 42 60 76 82 118 132 166 180 216 222 238 256 268 298	858939033752
SPT(16)	2226170152682514329	0 68 90 152 188 278 284 344 438 498 504 594 630 692 714 782	1473003310380
STPT(10)	2226170241165866267	0 2 30 32 42 44 54 56 84 86	1561486662318