Prime p₀= 2082621334950557561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 148 2 16 2 10 2 28 2 (?)
a_n: 0 2 18 20 30 32 180 182 198 200 210 212 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 16 10 148 16 10 28

STPT(10)	2082618938205882257	0 2 30 32 42 44 54 56 84 86	-2396744675304
SPT(16)	2082620094107749247	0 44 72 90 116 120 126 176 210 260 266 270 296 314 342 386	-1240842808314
SPT(16)	2082620311334587399	0 12 22 40 48 64 78 90 112 124 138 154 162 180 190 202	-1023615970162
SPT(16)	2082621040834377583	0 28 40 64 100 106 144 166 168 190 228 234 270 294 306 334	-294116179978
SPT(16)	2082621314123900587	0 24 64 90 94 154 160 232 324 396 402 462 466 492 532 556	-20826656974
SPT(16)	2082621332964162169	0 4 40 64 72 100 142 168 244 270 312 340 348 372 408 412	-1986395392
SPT(16)	2082621344396041513	0 16 28 30 78 100 120 130 204 214 234 256 304 306 318 334	9445483952
TPT(14)	2082621363784973159	0 2 12 14 42 44 78 80 120 122 210 212 348 350	28834415598
SPT(18)	2082621468440392219	0 28 88 112 118 124 160 168 174 238 244 252 288 294 300 324 384 412	133489834658
STPT(10)	2082621711611094089	0 2 18 20 60 62 102 104 120 122	376660536528
TPT(14)	2082622007908539611	0 2 96 98 138 140 180 182 246 248 306 308 330 332	672957982050