Prime p₀= 2256083229130176581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 16 2 40 2 10 2 34 2 28 2 (?)
a_n: 0 2 18 20 36 38 78 80 90 92 126 128 156 158
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: 158
Found by: JayPi
db: batch=81, k=14, 16 16 40 10 34 28

SPT(16)	2256082229761622179	0 12 42 84 88 142 144 150 172 178 180 234 238 280 310 322	-999368554402
STPT(10)	2256082260972384497	0 2 42 44 72 74 102 104 144 146	-968157792084
STPT(10)	2256082351723192511	0 2 36 38 78 80 120 122 156 158	-877406984070
STPT(10)	2256082590631880609	0 2 18 20 30 32 42 44 60 62	-638498295972
SPT(16)	2256082754506406647	0 40 42 72 82 94 126 162 184 220 252 264 274 304 306 346	-474623769934
SPT(16)	2256083085837957433	0 10 16 36 58 70 106 148 186 228 264 276 298 318 324 334	-143292219148
SPT(16)	2256084076212832483	0 4 36 60 66 76 94 100 120 126 144 154 160 184 216 220	847082655902
SPT(16)	2256084789048819319	0 22 34 94 120 142 154 160 192 198 210 232 258 318 330 352	1559918642738
SPT(16)	2256085438111797067	0 40 42 46 52 76 90 142 210 262 276 300 306 310 312 352	2208981620486
STPT(10)	2256085552319402891	0 2 6 8 48 50 90 92 96 98	2323189226310
STPT(10)	2256085938631682147	0 2 12 14 72 74 132 134 144 146	2709501505566