Prime p₀= 2313431400735333449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 40 2 94 2 28 2 52 2 (?)
a_n: 0 2 42 44 60 62 102 104 198 200 228 230 282 284
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: 284
Found by: WTBroughton
db: batch=81, k=14, 40 16 40 94 28 52

SPT(16)	2313430985105064103	0 6 10 24 76 114 136 154 180 198 220 258 310 324 328 334	-415630269346
SPT(16)	2313431148733454987	0 66 102 110 116 150 186 194 222 230 266 300 306 314 350 416	-252001878462
STPT(10)	2313431299861875617	0 2 54 56 72 74 90 92 144 146	-100873457832
SPT(16)	2313431304199795939	0 54 90 108 168 172 210 234 238 262 300 304 364 382 418 472	-96535537510
STPT(10)	2313431320645710227	0 2 30 32 42 44 54 56 84 86	-80089623222
SPT(16)	2313431398297199513	0 6 48 98 110 138 144 156 158 170 176 204 216 266 308 314	-2438133936
SPT(16)	2313431416014824591	0 38 50 80 150 176 192 206 222 236 252 278 348 378 390 428	15279491142
SPT(16)	2313431685494614079	0 2 54 72 98 110 128 132 170 174 192 204 230 248 300 302	284759280630
SPT(16)	2313431928090898243	0 30 76 96 100 178 180 198 238 256 258 336 340 360 406 436	527355564794
SPT(16)	2313432089220367301	0 6 8 18 26 92 138 216 272 350 396 462 470 480 482 488	688485033852
STPT(10)	2313432313626948299	0 2 30 32 60 62 90 92 120 122	912891614850