Prime p₀= 1996263324457978487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 28 2 124 2 28 2 28 2 (?)
a_n: 0 2 72 74 84 86 114 116 240 242 270 272 300 302
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: Orange Kid
db: batch=80, k=14, 70 10 28 124 28 28

TPT(14)	1996262893367999057	0 2 42 44 72 74 84 86 90 92 174 176 180 182	-431089979430
SPT(16)	1996262913251159731	0 6 28 48 72 78 136 178 180 222 280 286 310 330 352 358	-411206818756
STPT(10)	1996262966711983127	0 2 30 32 72 74 114 116 144 146	-357745995360
SPT(16)	1996263132534840419	0 24 68 92 98 162 164 230 252 318 320 384 390 414 458 482	-191923138068
STPT(10)	1996263215242024577	0 2 30 32 60 62 90 92 120 122	-109215953910
SPT(16)	1996263235181133953	0 66 74 90 114 140 224 228 236 240 324 350 374 390 398 464	-89276844534
STPT(10)	1996263418584168467	0 2 30 32 42 44 54 56 84 86	94126189980
STPT(10)	1996263772281868721	0 2 30 32 78 80 126 128 156 158	447823890234
SPT(16)	1996263975764565751	0 12 46 52 76 118 126 132 136 142 150 192 216 222 256 268	651306587264
STPT(10)	1996264172446347677	0 2 30 32 42 44 54 56 84 86	847988369190
SPT(16)	1996264409893745809	0 24 42 72 82 142 154 160 174 180 192 252 262 292 310 334	1085435767322