Prime p₀= 2098596212417860157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 46 2 88 2 58 2 52 2 (?)
a_n: 0 2 60 62 72 74 120 122 210 212 270 272 324 326
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: 326
Found by: Landjunge
db: batch=80, k=14, 58 10 46 88 58 52

SPT(16)	2098595054024988941	0 8 42 90 126 140 146 156 182 192 198 212 248 296 330 338	-1158392871216
TPT(14)	2098595542186554779	0 2 12 14 18 20 42 44 90 92 168 170 408 410	-670231305378
SPT(16)	2098595775686693561	0 36 50 66 116 122 132 158 210 236 246 252 302 318 332 368	-436731166596
SPT(16)	2098595838404793263	0 6 20 50 60 74 116 156 158 198 240 254 264 294 308 314	-374013066894
STPT(10)	2098595868611275589	0 2 48 50 90 92 132 134 180 182	-343806584568
SPT(16)	2098595919311483003	0 24 114 150 156 198 206 210 224 228 236 278 284 320 410 434	-293106377154
SPT(16)	2098596376088294629	0 52 60 84 94 108 112 130 162 180 184 198 208 232 240 292	163670434472
SPT(16)	2098596540664237093	0 18 78 90 100 106 130 168 328 366 390 396 406 418 478 496	328246376936
STPT(10)	2098596548124640937	0 2 42 44 102 104 162 164 204 206	335706780780
SPT(16)	2098596982490072173	0 30 36 46 58 76 130 148 168 186 240 258 270 280 286 316	770072212016
STPT(10)	2098597028607014231	0 2 6 8 18 20 30 32 36 38	816189154074