Prime p₀= 2098607827055541071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 82 2 4 2 28 2 118 2 10 2 (?)
a_n: 0 2 96 98 180 182 186 188 216 218 336 338 348 350
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: 350
Found by: Landjunge
db: batch=80, k=14, 94 82 4 28 118 10

SPT(16)	2098606750543675483	0 48 70 114 118 124 130 138 160 168 174 180 184 228 250 298	-1076511865588
SPT(16)	2098607159943782119	0 10 22 42 108 112 118 142 168 192 198 202 268 288 300 310	-667111758952
SPT(16)	2098607295467750647	0 12 24 34 52 82 114 132 244 262 294 324 342 352 364 376	-531587790424
SPT(16)	2098607410193382661	0 6 16 30 46 96 136 172 180 216 256 306 322 336 346 352	-416862158410
SPT(16)	2098607454504905053	0 6 30 36 94 106 124 136 138 150 168 180 238 244 268 274	-372550636018
STPT(10)	2098607749878402941	0 2 6 8 48 50 90 92 96 98	-77177138130
STPT(10)	2098608028321573661	0 2 6 8 48 50 90 92 96 98	201266032590
TPT(16)	2098608314987948339	0 2 30 32 42 44 78 80 102 104 132 134 168 170 252 254	487932407268
STPT(10)	2098608681207576059	0 2 18 20 30 32 42 44 60 62	854152034988
SPT(16)	2098608780700858927	0 12 22 30 36 96 102 130 156 184 190 250 256 264 274 286	953645317856
SPT(16)	2098608822329762803	0 4 144 156 208 238 280 300 364 384 426 456 508 520 660 664	995274221732