Prime p₀= 1951796732706508031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 34 2 190 2 16 2 10 2 70 2 (?)
a_n: 0 2 120 122 156 158 348 350 366 368 378 380 450 452
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: 452
Found by: fake
db: batch=80, k=14, 118 34 190 16 10 70

SPT(16)	1951794525418008043	0 10 16 28 66 70 76 114 160 198 204 208 246 258 264 274	-2207288499988
SPT(16)	1951794526396662653	0 60 90 104 140 144 276 314 336 374 506 510 546 560 590 650	-2206309845378
STPT(10)	1951795051190439779	0 2 42 44 60 62 78 80 120 122	-1681516068252
SPT(16)	1951795206387249827	0 2 6 14 60 86 90 102 104 116 120 146 192 200 204 206	-1526319258204
SPT(16)	1951795573300657141	0 150 156 172 178 192 198 220 228 250 256 270 276 292 298 448	-1159405850890
TPT(14)	1951795919223667211	0 2 36 38 60 62 126 128 168 170 186 188 258 260	-813482840820
SPT(16)	1951797670277742127	0 100 222 250 252 310 354 382 432 460 504 562 564 592 714 814	937571234096
STPT(10)	1951797740280771629	0 2 78 80 120 122 162 164 240 242	1007574263598
STPT(10)	1951798390393324337	0 2 42 44 72 74 102 104 144 146	1657686816306
STPT(10)	1951798809513689837	0 2 30 32 42 44 54 56 84 86	2076807181806
SPT(16)	1951799145723569003	0 24 50 56 60 68 98 116 228 246 276 284 288 294 320 344	2413017060972