Prime p₀= 2333314229418423047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 82 2 94 2 22 2 58 2 (?)
a_n: 0 2 30 32 60 62 144 146 240 242 264 266 324 326
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: 326
Found by: Landjunge
db: batch=81, k=14, 28 28 82 94 22 58

STPT(10)	2333313420934111529	0 2 42 44 90 92 138 140 180 182	-808484311518
STPT(10)	2333313558779441129	0 2 78 80 150 152 222 224 300 302	-670638981918
STPT(10)	2333313578023203071	0 2 6 8 18 20 30 32 36 38	-651395219976
STPT(10)	2333313674264783447	0 2 12 14 42 44 72 74 84 86	-555153639600
SPT(16)	2333313830870712299	0 38 44 80 102 110 158 164 228 234 282 290 312 348 354 392	-398547710748
SPT(16)	2333314038370901659	0 12 40 52 72 78 82 90 100 108 112 118 138 150 178 190	-191047521388
SPT(16)	2333314293290617699	0 12 30 34 54 72 100 108 184 192 220 238 258 262 280 292	63872194652
SPT(16)	2333314315251318017	0 24 42 54 66 90 120 126 260 266 296 320 332 344 362 386	85832894970
STPT(10)	2333314956183766127	0 2 24 26 42 44 60 62 84 86	726765343080
SPT(16)	2333315629516248319	0 18 64 90 112 148 174 250 252 328 354 390 412 438 484 502	1400097825272
SPT(16)	2333315899574761139	0 12 24 38 42 104 128 164 198 234 258 320 324 338 350 362	1670156338092