Prime p₀= 1396796351379887009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 22 2 28 2 178 2 28 2 (?)
a_n: 0 2 60 62 168 170 192 194 222 224 402 404 432 434
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: 434
Found by: Theadalus
db: batch=77, k=14, 58 106 22 28 178 28

SPT(16)	1396794551857417879	0 18 24 52 84 102 108 132 190 214 220 238 270 298 304 322	-1799522469130
STPT(10)	1396794774809023529	0 2 18 20 60 62 102 104 120 122	-1576570863480
STPT(10)	1396795197243446051	0 2 6 8 18 20 30 32 36 38	-1154136440958
STPT(10)	1396795586219683607	0 2 24 26 42 44 60 62 84 86	-765160203402
SPT(16)	1396795600765411921	0 22 48 88 100 106 148 156 202 210 252 258 270 310 336 358	-750614475088
SPT(16)	1396795873762002473	0 6 8 78 126 128 146 156 188 198 216 218 266 336 338 344	-477617884536
STPT(10)	1396796683735506341	0 2 36 38 78 80 120 122 156 158	332355619332
TPT(14)	1396797164416797809	0 2 12 14 30 32 72 74 150 152 162 164 210 212	813036910800
STPT(10)	1396797299403484967	0 2 72 74 102 104 132 134 204 206	948023597958
SPT(13)	1396797562872078401	0 6 30 60 90 168 198 228 306 336 366 390 396	1211492191392
SPT(16)	1396797662138136329	0 12 18 38 42 108 110 122 180 192 194 260 264 284 290 302	1310758249320