Prime p₀= 2882641392585707999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 76 2 52 2 64 2 52 2 (?)
a_n: 0 2 30 32 120 122 198 200 252 254 318 320 372 374
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: 374
Found by: Landjunge
db: batch=82, k=14, 28 88 76 52 64 52

SPT(16)	2882640710535322769	0 68 90 92 104 152 180 194 198 212 240 288 300 302 324 392	-682050385230
SPT(16)	2882640900808809541	0 42 58 100 102 108 120 126 172 178 190 196 198 240 256 298	-491776898458
STPT(10)	2882640983484346499	0 2 18 20 30 32 42 44 60 62	-409101361500
STPT(10)	2882641201242023159	0 2 30 32 120 122 210 212 240 242	-191343684840
STPT(10)	2882641230212590541	0 2 30 32 60 62 90 92 120 122	-162373117458
SPT(16)	2882641303673200963	0 34 40 64 124 148 168 174 280 286 306 330 390 414 420 454	-88912507036
TPT(14)	2882641537308526547	0 2 30 32 54 56 114 116 180 182 204 206 210 212	144722818548
STPT(10)	2882641827308933267	0 2 30 32 42 44 54 56 84 86	434723225268
SPT(16)	2882642583312105113	0 8 54 80 96 120 156 188 366 398 434 458 474 500 546 554	1190726397114
STPT(10)	2882642646513394157	0 2 30 32 42 44 54 56 84 86	1253927686158
SPT(16)	2882642690425577843	0 18 38 60 80 96 140 158 246 264 308 324 344 366 386 404	1297839869844