Prime p₀= 2181492105506075039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 34 2 58 2 22 2 4 2 (?)
a_n: 0 2 60 62 72 74 108 110 168 170 192 194 198 200
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: 200
Found by: Landjunge
db: batch=81, k=14, 58 10 34 58 22 4

SPT(16)	2181490851358745867	0 2 42 54 96 114 140 176 210 246 272 290 332 344 384 386	-1254147329172
SPT(16)	2181491249095983823	0 18 34 36 78 96 120 130 294 304 328 346 388 390 406 424	-856410091216
SPT(22)	2181491372027319181	0 22 42 96 168 172 208 222 238 246 300 328 382 390 406 420 456 460 532 586 606 628	-733478755858
STPT(10)	2181491468261168879	0 2 12 14 30 32 48 50 60 62	-637244906160
SPT(16)	2181491675604840499	0 18 28 42 70 108 150 160 162 172 214 252 280 294 304 322	-429901234540
STPT(10)	2181492025193027999	0 2 12 14 90 92 168 170 180 182	-80313047040
TPT(16)	2181492235358396501	0 2 30 32 48 50 78 80 336 338 426 428 456 458 468 470	129852321462
SPT(16)	2181492316785374027	0 2 12 24 42 44 66 92 114 140 162 164 182 194 204 206	211279298988
SPT(13)	2181492636801933641	0 36 90 120 156 216 228 240 300 336 366 420 456	531295858602
SPT(16)	2181492772817541023	0 38 78 80 86 120 128 176 318 366 374 408 414 416 456 494	667311465984
STPT(10)	2181493138559559239	0 2 42 44 120 122 198 200 240 242	1033053484200