Prime p₀= 2048953901420226677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 202 2 34 2 40 2 70 2 16 2 118 2 (?)
a_n: 0 2 204 206 240 242 282 284 354 356 372 374 492 494
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: 494
Found by: Landjunge
db: batch=80, k=14, 202 34 40 70 16 118

SPT(16)	2048952134550435313	0 28 30 58 78 90 136 150 166 180 226 238 258 286 288 316	-1766869791364
STPT(10)	2048952632144187821	0 2 6 8 18 20 30 32 36 38	-1269276038856
SPT(16)	2048952735191370289	0 12 30 54 124 138 142 150 172 180 184 198 268 292 310 322	-1166228856388
STPT(10)	2048953194313467119	0 2 18 20 30 32 42 44 60 62	-707106759558
SPT(16)	2048953318948720939	0 30 54 60 84 88 94 108 130 144 150 154 178 184 208 238	-582471505738
STPT(10)	2048953761153375257	0 2 24 26 42 44 60 62 84 86	-140266851420
SPT(16)	2048953942287673693	0 6 70 76 96 136 150 156 178 184 198 238 258 264 328 334	40867447016
TPT(14)	2048954092883028767	0 2 60 62 102 104 120 122 132 134 204 206 210 212	191462802090
STPT(10)	2048954129888039189	0 2 12 14 30 32 48 50 60 62	228467812512
SPT(16)	2048954228269518301	0 12 42 88 96 112 156 162 166 172 216 232 240 286 316 328	326849291624
SPT(16)	2048954730097538827	0 6 12 64 72 90 132 142 144 154 196 214 222 274 280 286	828677312150