Prime p₀= 2197729225988567147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 52 2 88 2 34 2 28 2 (?)
a_n: 0 2 42 44 60 62 114 116 204 206 240 242 270 272
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: 272
Found by: Penguin
db: batch=81, k=14, 40 16 52 88 34 28

SPT(16)	2197728184656781771	0 10 16 18 36 82 96 102 106 112 126 172 190 192 198 208	-1041331785376
STPT(10)	2197728240821516057	0 2 54 56 72 74 90 92 144 146	-985167051090
SPT(16)	2197728534461599189	0 22 42 112 124 162 180 190 294 304 322 360 372 442 462 484	-691526967958
SPT(16)	2197728538135838429	0 8 18 38 42 50 60 150 152 242 252 260 264 284 294 302	-687852728718
SPT(16)	2197728591899033437	0 12 34 54 60 66 112 114 322 324 370 376 382 402 424 436	-634089533710
SPT(16)	2197728750143877449	0 24 32 44 98 168 200 224 228 252 284 354 408 420 428 452	-475844689698
TPT(14)	2197729326459187217	0 2 30 32 54 56 132 134 210 212 270 272 294 296	100470620070
STPT(12)	2197729385926968329	0 2 18 20 42 44 78 80 102 104 120 122	159938401182
SPT(16)	2197729750345387619	0 14 30 32 48 62 102 110 132 140 180 194 210 212 228 242	524356820472
SPT(16)	2197729950732430949	0 72 80 92 98 102 128 158 174 204 230 234 240 252 260 332	724743863802
STPT(10)	2197730078789084891	0 2 6 8 18 20 30 32 36 38	852800517744