Prime p₀= 2091758959702337279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 124 2 28 2 40 2 76 2 10 2 (?)
a_n: 0 2 102 104 228 230 258 260 300 302 378 380 390 392
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: 392
Found by: Landjunge
db: batch=80, k=14, 100 124 28 40 76 10

TPT(14)	2091758424120394871	0 2 18 20 30 32 90 92 156 158 210 212 240 242	-535581942408
SPT(16)	2091758453735449189	0 10 42 70 132 138 160 168 304 312 334 340 402 430 462 472	-505966888090
STPT(10)	2091758512714836389	0 2 48 50 90 92 132 134 180 182	-446987500890
SPT(16)	2091758523343913939	0 8 32 72 78 102 198 224 258 284 380 404 410 450 474 482	-436358423340
SPT(16)	2091758667371769443	0 20 24 36 48 66 68 80 204 216 218 236 248 260 264 284	-292330567836
STPT(10)	2091758799133301411	0 2 36 38 78 80 120 122 156 158	-160569035868
STPT(10)	2091759057458543519	0 2 12 14 90 92 168 170 180 182	97756206240
STPT(10)	2091759102309791669	0 2 18 20 30 32 42 44 60 62	142607454390
SPT(16)	2091759287253468251	0 30 42 68 86 96 126 152 156 182 212 222 240 266 278 308	327551130972
SPT(16)	2091759751441858103	0 20 74 86 116 144 216 266 354 404 476 504 534 546 600 620	791739520824
SPT(16)	2091759854965233109	0 10 12 24 28 54 130 160 192 222 298 324 328 340 342 352	895262895830