Prime p₀= 1086046865847136397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 70 2 34 2 70 2 (?)
a_n: 0 2 12 14 24 26 42 44 114 116 150 152 222 224
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: 224
Found by: Theadalus
db: batch=76, k=14, 10 10 16 70 34 70

SPT(16)	1086044688262816111	0 22 70 90 102 120 148 172 198 222 250 268 280 300 348 370	-2177584320286
SPT(16)	1086044693634982997	0 6 32 44 90 122 146 164 192 210 234 266 312 324 350 356	-2172212153400
STPT(10)	1086044967765764297	0 2 54 56 132 134 210 212 264 266	-1898081372100
STPT(10)	1086045438365264129	0 2 18 20 30 32 42 44 60 62	-1427481872268
STPT(10)	1086045967473985337	0 2 30 32 42 44 54 56 84 86	-898373151060
SPT(16)	1086046702503556249	0 22 52 60 70 78 88 120 130 162 172 180 190 198 228 250	-163343580148
STPT(10)	1086046968218179937	0 2 54 56 72 74 90 92 144 146	102371043540
SPT(16)	1086046974142760429	0 30 42 72 90 98 114 128 144 158 174 182 200 230 242 272	108295624032
TPT(14)	1086047073794740259	0 2 12 14 42 44 138 140 222 224 252 254 270 272	207947603862
SPT(16)	1086047180161391813	0 8 54 96 150 164 180 206 348 374 390 404 458 500 546 554	314314255416
STPT(10)	1086047188378533707	0 2 42 44 72 74 102 104 144 146	322531397310