Prime p₀= 2364105648064357361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 70 2 28 2 28 2 46 2 88 2 (?)
a_n: 0 2 36 38 108 110 138 140 168 170 216 218 306 308
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: 308
Found by: Landjunge
db: batch=81, k=14, 34 70 28 28 46 88

STPT(10)	2364105076606021247	0 2 42 44 72 74 102 104 144 146	-571458336114
STPT(10)	2364105177672845861	0 2 36 38 168 170 300 302 336 338	-470391511500
TPT(14)	2364105231475028891	0 2 36 38 66 68 78 80 90 92 210 212 300 302	-416589328470
SPT(16)	2364105414109229071	0 10 12 36 42 58 66 78 130 142 150 166 172 196 198 208	-233955128290
SPT(16)	2364105511391337643	0 10 18 24 40 48 54 70 108 124 130 138 154 160 168 178	-136673019718
SPT(16)	2364105569588696347	0 10 124 162 204 222 232 234 280 282 292 310 352 390 504 514	-78475661014
TPT(16)	2364105752842832897	0 2 84 86 90 92 120 122 132 134 150 152 174 176 294 296	104778475536
SPT(16)	2364105875806785749	0 38 78 122 170 188 192 228 272 308 312 330 378 422 462 500	227742428388
SPT(16)	2364105973099908379	0 24 28 34 40 52 70 118 144 192 210 222 228 234 238 262	325035551018
STPT(10)	2364106166243639471	0 2 96 98 108 110 120 122 216 218	518179282110
STPT(10)	2364106404970819037	0 2 60 62 72 74 84 86 144 146	756906461676