Prime p₀= 2446727478100462559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 16 2 82 2 4 2 28 2 (?)
a_n: 0 2 30 32 60 62 78 80 162 164 168 170 198 200
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: 200
Found by: JayPi
db: batch=82, k=14, 28 28 16 82 4 28

SPT(16)	2446726884009243947	0 2 20 42 56 102 114 152 174 212 224 270 284 306 324 326	-594091218612
STPT(10)	2446727068048323017	0 2 42 44 72 74 102 104 144 146	-410052139542
STPT(10)	2446727085516623771	0 2 36 38 78 80 120 122 156 158	-392583838788
SPT(16)	2446727127182355323	0 20 50 56 66 74 78 108 116 146 150 158 168 174 204 224	-350918107236
SPT(16)	2446727159179746161	0 8 20 42 50 68 78 80 108 110 120 138 146 168 180 188	-318920716398
TPT(14)	2446727418462406817	0 2 12 14 150 152 180 182 342 344 390 392 504 506	-59638055742
SPT(16)	2446727839410861767	0 66 90 96 102 104 116 140 186 210 222 224 230 236 260 326	361310399208
SPT(18)	2446727874612678739	0 10 12 24 60 78 82 88 108 124 144 150 154 172 208 220 222 232	396512216180
SPT(16)	2446727984715012959	0 24 44 50 78 80 102 120 122 140 162 164 192 198 218 242	506614550400
STPT(10)	2446728008484219137	0 2 12 14 42 44 72 74 84 86	530383756578
SPT(13)	2446728023863705487	0 24 132 162 174 180 192 204 210 222 252 360 384	545763242928