Prime p₀= 2364105231475028891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 10 2 118 2 88 2 (?)
a_n: 0 2 36 38 66 68 78 80 90 92 210 212 300 302
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: 302
Found by: Landjunge
db: batch=81, k=14, 34 28 10 10 118 88

STPT(10)	2364103446533091449	0 2 18 20 30 32 42 44 60 62	-1784941937442
SPT(20)	2364103865829553937	0 42 66 92 116 162 180 182 224 276 320 372 414 416 434 480 504 530 554 596	-1365645474954
STPT(10)	2364104557919600057	0 2 42 44 72 74 102 104 144 146	-673555428834
STPT(10)	2364104605863249647	0 2 30 32 72 74 114 116 144 146	-625611779244
STPT(10)	2364105076606021247	0 2 42 44 72 74 102 104 144 146	-154869007644
STPT(10)	2364105177672845861	0 2 36 38 168 170 300 302 336 338	-53802183030
SPT(16)	2364105414109229071	0 10 12 36 42 58 66 78 130 142 150 166 172 196 198 208	182634200180
SPT(16)	2364105511391337643	0 10 18 24 40 48 54 70 108 124 130 138 154 160 168 178	279916308752
SPT(16)	2364105569588696347	0 10 124 162 204 222 232 234 280 282 292 310 352 390 504 514	338113667456
TPT(14)	2364105648064357361	0 2 36 38 108 110 138 140 168 170 216 218 306 308	416589328470
TPT(16)	2364105752842832897	0 2 84 86 90 92 120 122 132 134 150 152 174 176 294 296	521367804006