Prime p₀= 2562620728736393417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 64 2 40 2 46 2 10 2 10 2 (?)
a_n: 0 2 54 56 120 122 162 164 210 212 222 224 234 236
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: 236
Found by: [SG-FC] hl
db: batch=82, k=14, 52 64 40 46 10 10

SPT(16)	2562618671636582761	0 10 12 42 48 72 102 130 138 166 196 220 226 256 258 268	-2057099810656
STPT(10)	2562618750010008881	0 2 36 38 78 80 120 122 156 158	-1978726384536
STPT(12)	2562619317822542939	0 2 42 44 48 50 72 74 78 80 120 122	-1410913850478
SPT(16)	2562619456173599423	0 6 60 128 138 186 210 216 248 254 278 326 336 404 458 464	-1272562793994
STPT(10)	2562620075610992609	0 2 42 44 60 62 78 80 120 122	-653125400808
SPT(16)	2562620351231401147	0 36 82 84 124 130 136 150 166 180 186 192 232 234 280 316	-377504992270
STPT(10)	2562620772159566477	0 2 60 62 72 74 84 86 144 146	43423173060
STPT(10)	2562621102379089077	0 2 42 44 72 74 102 104 144 146	373642695660
TPT(14)	2562621179208020321	0 2 96 98 138 140 180 182 186 188 240 242 318 320	450471626904
STPT(10)	2562621503837272037	0 2 30 32 42 44 54 56 84 86	775100878620
SPT(16)	2562621778552949557	0 36 52 82 100 112 120 142 300 322 330 342 360 390 406 442	1049816556140