Prime p₀= 3006653655880378331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 16 2 10 2 10 2 58 2 46 2 (?)
a_n: 0 2 18 20 36 38 48 50 60 62 120 122 168 170
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: [SG-2W]Kurzer
db: batch=82, k=14, 16 16 10 10 58 46

STPT(10)	3006651897701041649	0 2 42 44 90 92 138 140 180 182	-1758179336682
SPT(16)	3006651975558985877	0 2 12 36 50 56 60 132 140 212 216 222 236 260 270 272	-1680321392454
SPT(16)	3006652823148443137	0 12 22 30 40 42 54 70 114 130 142 144 154 162 172 184	-832731935194
SPT(16)	3006653033096899943	0 80 84 116 158 168 210 234 260 284 326 336 378 410 414 494	-622783478388
SPT(16)	3006653174803166419	0 4 34 60 88 90 94 142 270 318 322 324 352 378 408 412	-481077211912
SPT(16)	3006653349463493293	0 28 64 78 90 120 160 168 196 204 244 274 286 300 336 364	-306416885038
SPT(16)	3006654089765925217	0 24 64 66 120 156 160 166 234 240 244 280 334 336 376 400	433885546886
SPT(16)	3006654131291456189	0 24 42 48 62 84 104 134 318 348 368 390 404 410 428 452	475411077858
STPT(10)	3006654191219409947	0 2 60 62 72 74 84 86 144 146	535339031616
STPT(10)	3006654754951850927	0 2 12 14 42 44 72 74 84 86	1099071472596
STPT(10)	3006655010043421727	0 2 12 14 42 44 72 74 84 86	1354163043396