Prime p₀= 2234302765311248459 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 28 2 28 2 46 2 (?)
a_n: 0 2 18 20 42 44 60 62 90 92 120 122 168 170
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: Penguin
db: batch=81, k=14, 16 22 16 28 28 46

SPT(16)	2234299753921400537	0 50 60 92 114 180 254 294 422 462 536 602 624 656 666 716	-3011389847922
STPT(10)	2234300001547094177	0 2 54 56 72 74 90 92 144 146	-2763764154282
SPT(16)	2234300800417066793	0 14 26 44 60 66 96 114 140 158 188 194 210 228 240 254	-1964894181666
STPT(10)	2234301299888909099	0 2 30 32 60 62 90 92 120 122	-1465422339360
STPT(10)	2234301750185833511	0 2 126 128 138 140 150 152 276 278	-1015125414948
SPT(16)	2234302507759241467	0 42 70 136 142 150 172 196 216 240 262 270 276 342 370 412	-257552006992
STPT(10)	2234303148324722771	0 2 6 8 18 20 30 32 36 38	383013474312
SPT(16)	2234303172475211401	0 18 72 82 100 102 232 238 240 246 376 378 396 406 460 478	407163962942
TPT(14)	2234303222591756711	0 2 36 38 66 68 90 92 126 128 150 152 246 248	457280508252
TPT(14)	2234303557059473309	0 2 42 44 48 50 90 92 102 104 132 134 180 182	791748224850
SPT(16)	2234303562203327033	0 18 26 30 68 90 96 116 168 188 194 216 254 258 266 284	796892078574