Prime p₀= 3947980424989904789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 118 2 88 2 28 2 70 2 40 2 (?)
a_n: 0 2 48 50 168 170 258 260 288 290 360 362 402 404
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: 404
Found by: mikey
db: batch=84, k=14, 46 118 88 28 70 40

SPT(16)	3947978423478424901	0 12 38 56 140 158 186 228 320 362 390 408 492 510 536 548	-2001511479888
STPT(10)	3947978963284261847	0 2 30 32 42 44 54 56 84 86	-1461705642942
SPT(16)	3947979024696121601	0 2 36 110 156 158 170 182 216 228 240 242 288 362 396 398	-1400293783188
STPT(10)	3947979206396845589	0 2 12 14 30 32 48 50 60 62	-1218593059200
TPT(14)	3947979691065107417	0 2 24 26 102 104 150 152 210 212 222 224 234 236	-733924797372
SPT(16)	3947980307197198561	0 6 16 66 72 90 102 112 150 160 172 190 196 246 256 262	-117792706228
STPT(10)	3947980454546137979	0 2 12 14 30 32 48 50 60 62	29556233190
TPT(14)	3947980955521922747	0 2 30 32 42 44 84 86 150 152 162 164 180 182	530532017958
SPT(16)	3947981711875249471	0 30 76 82 90 126 190 196 246 252 316 352 360 366 412 442	1286885344682
SPT(16)	3947981970506566711	0 66 120 160 162 190 276 292 300 316 402 430 432 472 526 592	1545516661922
SPT(16)	3947982220050983281	0 10 70 88 90 102 168 172 198 202 268 280 282 300 360 370	1795061078492