Prime p₀= 1022522868575256341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 34 2 52 2 16 2 136 2 (?)
a_n: 0 2 18 20 60 62 96 98 150 152 168 170 306 308
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: 308
Found by: stoneageman
db: batch=76, k=14, 16 40 34 52 16 136

STPT(10)	1022521623229545581	0 2 6 8 18 20 30 32 36 38	-1245345710760
STPT(10)	1022521717001690429	0 2 18 20 30 32 42 44 60 62	-1151573565912
STPT(10)	1022521737148535717	0 2 30 32 60 62 90 92 120 122	-1131426720624
SPT(16)	1022521853749978013	0 18 68 80 98 104 108 134 150 176 180 186 204 216 266 284	-1014825278328
SPT(16)	1022522095956248021	0 18 26 36 116 120 122 128 150 156 158 162 242 252 260 278	-772619008320
SPT(16)	1022522568567480089	0 2 30 44 74 90 120 152 162 194 224 240 270 284 312 314	-300007776252
SPT(16)	1022523091454956643	0 14 18 24 38 54 56 96 128 168 170 186 200 206 210 224	222879700302
STPT(10)	1022523316842237149	0 2 18 20 30 32 42 44 60 62	448266980808
STPT(10)	1022523891801585377	0 2 12 14 42 44 72 74 84 86	1023226329036
SPT(16)	1022524056226867499	0 18 50 68 78 134 152 242 330 420 438 494 504 522 554 572	1187651611158
SPT(16)	1022524641427479269	0 18 32 92 134 150 158 162 230 234 242 258 300 360 374 392	1772852222928