Prime p₀= 741626181060984341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 28 2 196 2 112 2 64 2 (?)
a_n: 0 2 66 68 78 80 108 110 306 308 420 422 486 488
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: 488
Found by: Theadalus
db: batch=73, k=14, 64 10 28 196 112 64

SPT(16)	741625140080500243	0 24 78 94 144 168 228 234 274 280 340 364 414 430 484 508	-1040980484098
STPT(10)	741625474882772327	0 2 12 14 42 44 72 74 84 86	-706178212014
STPT(10)	741625493434451831	0 2 6 8 18 20 30 32 36 38	-687626532510
SPT(16)	741625810053063919	0 40 54 60 100 198 222 252 310 340 364 462 502 508 522 562	-371007920422
SPT(16)	741625864232642827	0 16 34 54 72 114 124 142 144 162 172 214 232 252 270 286	-316828341514
STPT(10)	741625976189078969	0 2 18 20 30 32 42 44 60 62	-204871905372
STPT(10)	741626363656181621	0 2 36 38 78 80 120 122 156 158	182595197280
SPT(16)	741626630070118679	0 32 110 122 132 150 152 234 260 342 344 362 372 384 462 494	449009134338
SPT(16)	741626806700802683	0 24 38 44 78 126 140 170 174 204 218 266 300 306 320 344	625639818342
SPT(16)	741626828138518099	0 30 52 64 100 142 144 154 228 238 240 282 318 330 352 382	647077533758
STPT(12)	741626900491492199	0 2 30 32 72 74 90 92 132 134 162 164	719430507858