Prime p₀= 2105734447519087949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 40 2 10 2 28 2 34 2 (?)
a_n: 0 2 18 20 48 50 90 92 102 104 132 134 168 170
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: 170
Found by: Landjunge
db: batch=80, k=14, 16 28 40 10 28 34

SPT(16)	2105733361067294831	0 66 90 96 120 146 158 168 200 210 222 248 272 278 302 368	-1086451793118
STPT(10)	2105733489972357767	0 2 30 32 42 44 54 56 84 86	-957546730182
TPT(14)	2105733622249623101	0 2 30 32 36 38 156 158 288 290 306 308 360 362	-825269464848
STPT(10)	2105733866290884677	0 2 12 14 42 44 72 74 84 86	-581228203272
SPT(16)	2105734192570861729	0 22 24 84 90 160 220 244 288 312 372 442 448 508 510 532	-254948226220
SPT(16)	2105734431689270303	0 54 80 98 110 138 168 186 188 206 236 264 276 294 320 374	-15829817646
SPT(16)	2105734626781381157	0 42 72 84 86 90 126 246 260 380 416 420 422 434 464 506	179262293208
SPT(16)	2105734949140721351	0 12 66 90 92 126 140 176 192 228 242 276 278 302 356 368	501621633402
SPT(16)	2105734978893474947	0 12 32 50 74 182 210 240 266 296 324 432 456 474 494 506	531374386998
STPT(10)	2105735011124617307	0 2 30 32 120 122 210 212 240 242	563605529358
SPT(16)	2105735268858107791	0 6 46 66 78 106 130 160 186 216 240 268 280 300 340 346	821339019842