Prime p₀= 2245590778441334081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 106 2 28 2 40 2 28 2 (?)
a_n: 0 2 30 32 60 62 168 170 198 200 240 242 270 272
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: eclipse99
db: batch=81, k=14, 28 28 106 28 40 28

TPT(14)	2245589913832374677	0 2 84 86 192 194 240 242 360 362 372 374 390 392	-864608959404
SPT(16)	2245590157913116351	0 22 28 58 106 108 126 148 150 172 190 192 240 270 276 298	-620528217730
SPT(16)	2245590410958774013	0 10 40 46 66 96 138 180 184 226 268 298 318 324 354 364	-367482560068
SPT(16)	2245590533663277599	0 32 38 138 140 144 152 182 330 360 368 372 374 474 480 512	-244778056482
SPT(16)	2245590601622377019	0 2 24 44 54 84 140 164 168 192 248 278 288 308 330 332	-176818957062
STPT(10)	2245590695219172347	0 2 12 14 72 74 132 134 144 146	-83222161734
SPT(16)	2245591007153648261	0 18 48 56 92 98 120 126 182 188 210 216 252 260 290 308	228712314180
SPT(16)	2245591361625163637	0 12 26 50 56 72 86 92 144 150 164 180 186 210 224 236	583183829556
STPT(10)	2245591689779668829	0 2 18 20 30 32 42 44 60 62	911338334748
SPT(16)	2245592008432608929	0 14 30 78 98 108 132 164 168 200 224 234 254 302 318 332	1229991274848
SPT(13)	2245592628543931231	0 12 36 120 162 180 186 192 210 252 336 360 372	1850102597150