Prime p₀= 2446739344122100757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 22 2 28 2 16 2 88 2 (?)
a_n: 0 2 30 32 90 92 114 116 144 146 162 164 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 28 58 22 28 16 88

STPT(10)	2446737355600641281	0 2 6 8 48 50 90 92 96 98	-1988521459476
SPT(16)	2446737875865497339	0 32 38 54 138 234 242 258 284 300 308 404 488 504 510 542	-1468256603418
SPT(16)	2446738206097146263	0 8 68 108 134 210 260 276 338 354 404 480 506 546 606 614	-1138024954494
SPT(16)	2446738457021223643	0 10 36 40 64 66 70 78 136 144 148 150 174 178 204 214	-887100877114
SPT(16)	2446738473982272101	0 90 126 128 170 240 266 276 350 360 386 456 498 500 536 626	-870139828656
SPT(16)	2446738726240744183	0 28 40 48 54 70 108 120 124 136 174 190 196 204 216 244	-617881356574
SPT(16)	2446739534085699173	0 6 14 66 90 110 126 230 234 338 354 374 398 450 458 464	189963598416
SPT(16)	2446739856249260653	0 30 46 70 160 184 226 316 378 468 510 534 624 648 664 694	512127159896
STPT(10)	2446740197302884797	0 2 30 32 42 44 54 56 84 86	853180784040
STPT(10)	2446740289183663091	0 2 66 68 108 110 150 152 216 218	945061562334
TPT(14)	2446740449579312351	0 2 48 50 150 152 168 170 210 212 258 260 288 290	1105457211594