Prime p₀= 2066681197377073601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 58 2 88 2 16 2 10 2 (?)
a_n: 0 2 18 20 60 62 120 122 210 212 228 230 240 242
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 40 58 88 16 10

SPT(16)	2066680304843342663	0 44 56 80 90 104 144 146 168 170 210 224 234 258 270 314	-892533730938
STPT(10)	2066680523371252037	0 2 60 62 72 74 84 86 144 146	-674005821564
STPT(10)	2066680529032347197	0 2 12 14 72 74 132 134 144 146	-668344726404
TPT(16)	2066680610409584171	0 2 78 80 90 92 120 122 156 158 198 200 228 230 366 368	-586967489430
SPT(16)	2066680689162114247	0 22 76 84 102 154 162 192 274 304 312 364 382 390 444 466	-508214959354
SPT(16)	2066681048394691189	0 4 30 52 70 84 130 154 198 222 268 282 300 322 348 352	-148982382412
SPT(16)	2066681343234306277	0 10 66 72 84 96 124 216 310 402 430 442 454 460 516 526	145857232676
STPT(10)	2066681606597869577	0 2 30 32 42 44 54 56 84 86	409220795976
SPT(16)	2066681841833610857	0 20 30 56 60 62 86 144 212 270 294 296 300 326 336 356	644456537256
STPT(10)	2066682353631523877	0 2 30 32 42 44 54 56 84 86	1156254450276
SPT(16)	2066682465829526663	0 18 86 104 114 126 128 140 174 186 188 200 210 228 296 314	1268452453062