Prime p₀= 2183269514682132431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 34 2 40 2 40 2 16 2 (?)
a_n: 0 2 90 92 120 122 156 158 198 200 240 242 258 260
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: 260
Found by: Coleslaw
db: batch=81, k=14, 88 28 34 40 40 16

STPT(10)	2183267915833292291	0 2 90 92 150 152 210 212 300 302	-1598848840140
SPT(16)	2183268365970999803	0 14 18 20 56 60 96 104 150 158 194 198 234 236 240 254	-1148711132628
SPT(16)	2183268811821278339	0 2 42 74 120 152 222 224 240 242 312 344 390 422 462 464	-702860854092
STPT(10)	2183269109812814867	0 2 30 32 42 44 54 56 84 86	-404869317564
SPT(16)	2183269198043770649	0 42 102 120 138 170 198 218 312 332 360 392 410 428 488 530	-316638361782
SPT(16)	2183269244628604091	0 18 32 38 42 66 98 108 110 120 152 176 180 186 200 218	-270053528340
SPT(16)	2183269542771509029	0 10 12 22 40 82 84 90 154 160 162 204 222 232 234 244	28089376598
STPT(10)	2183269652402626547	0 2 84 86 132 134 180 182 264 266	137720494116
SPT(16)	2183270451039926503	0 24 58 66 76 90 124 150 184 210 244 258 268 276 310 334	936357794072
STPT(10)	2183270500430299517	0 2 12 14 42 44 72 74 84 86	985748167086
SPT(16)	2183270619353714963	0 44 80 90 146 168 198 290 294 386 416 438 494 504 540 584	1104671582532