Prime p₀= 2390986213868639081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 106 2 10 2 28 2 46 2 22 2 (?)
a_n: 0 2 48 50 156 158 168 170 198 200 246 248 270 272
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: 272
Found by: Landjunge
db: batch=81, k=14, 46 106 10 28 46 22

SPT(16)	2390985605140624733	0 24 30 48 54 80 86 96 98 108 114 140 146 164 170 194	-608728014348
STPT(10)	2390985608143463687	0 2 42 44 72 74 102 104 144 146	-605725175394
SPT(16)	2390985673245050639	0 24 42 84 92 102 120 134 150 164 182 192 200 242 260 284	-540623588442
SPT(16)	2390985985449721903	0 6 84 90 150 174 210 216 228 234 270 294 354 360 438 444	-228418917178
SPT(16)	2390985999025946653	0 36 48 94 108 118 160 174 190 204 246 256 270 316 328 364	-214842692428
SPT(16)	2390986161086038457	0 14 90 110 200 216 236 252 284 300 320 336 426 446 522 536	-52782600624
SPT(16)	2390986554787765283	0 6 48 56 68 110 114 116 138 140 144 186 198 206 248 254	340919126202
SPT(16)	2390986616784216461	0 66 80 90 92 98 126 150 248 272 300 306 308 318 332 398	402915577380
STPT(10)	2390986818842371637	0 2 30 32 42 44 54 56 84 86	604973732556
STPT(10)	2390986887761280629	0 2 42 44 60 62 78 80 120 122	673892641548
SPT(16)	2390986962312397961	0 32 66 68 92 96 98 102 176 180 182 186 210 212 246 278	748443758880