Prime p₀= 2453258924105733167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 58 2 22 2 28 2 34 2 (?)
a_n: 0 2 12 14 30 32 90 92 114 116 144 146 180 182
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: 182
Found by: JayPi
db: batch=82, k=14, 10 16 58 22 28 34

SPT(16)	2453257799923026751	0 6 78 90 100 106 142 162 286 306 342 348 358 370 442 448	-1124182706416
STPT(10)	2453257840783235537	0 2 84 86 102 104 120 122 204 206	-1083322497630
SPT(16)	2453257855874541119	0 54 78 108 138 152 158 242 270 354 360 374 404 434 458 512	-1068231192048
SPT(16)	2453258201338623061	0 28 36 42 66 78 118 126 172 180 220 232 256 262 270 298	-722767110106
STPT(10)	2453258500903358147	0 2 24 26 42 44 60 62 84 86	-423202375020
STPT(10)	2453258779294842557	0 2 54 56 132 134 210 212 264 266	-144810890610
SPT(16)	2453259081709963927	0 12 22 54 64 72 100 144 190 234 262 270 280 312 322 334	157604230760
SPT(16)	2453259653468948959	0 22 40 48 90 214 222 280 312 370 378 502 544 552 570 592	729363215792
TPT(14)	2453259703387860359	0 2 42 44 102 104 150 152 168 170 192 194 210 212	779282127192
TPT(14)	2453259898722424067	0 2 12 14 150 152 204 206 300 302 342 344 402 404	974616690900
SPT(16)	2453260199360977759	0 58 64 78 114 124 190 228 250 288 354 364 400 414 420 478	1275255244592