Prime p₀= 2056824502819102409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 40 2 16 2 16 2 22 2 (?)
a_n: 0 2 30 32 120 122 162 164 180 182 198 200 222 224
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: 224
Found by: vinn@[CNT]
db: batch=80, k=14, 28 88 40 16 16 22

STPT(10)	2056822558015029989	0 2 18 20 30 32 42 44 60 62	-1944804072420
SPT(16)	2056822609346563607	0 6 104 120 152 162 174 212 264 302 314 324 356 372 470 476	-1893472538802
SPT(16)	2056823216630299619	0 14 90 102 132 134 230 264 308 342 438 440 470 482 558 572	-1286188802790
TPT(16)	2056823336117892077	0 2 30 32 114 116 234 236 360 362 372 374 444 446 462 464	-1166701210332
SPT(16)	2056823913726265331	0 26 36 48 50 62 126 128 180 182 246 258 260 272 282 308	-589092837078
STPT(10)	2056823915522305997	0 2 60 62 72 74 84 86 144 146	-587296796412
SPT(16)	2056824761637840373	0 28 36 46 70 88 138 154 180 196 246 264 288 298 306 334	258818737964
STPT(10)	2056824978735189977	0 2 30 32 42 44 54 56 84 86	475916087568
SPT(16)	2056825009047989993	0 30 96 98 120 156 158 198 206 246 248 284 306 308 374 404	506228887584
SPT(16)	2056825326847342879	0 42 60 64 70 88 114 130 132 148 174 192 198 202 220 262	824028240470
STPT(10)	2056825722029897447	0 2 30 32 72 74 114 116 144 146	1219210795038