Prime p₀= 2765177948736055451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 130 2 10 2 16 2 46 2 (?)
a_n: 0 2 30 32 96 98 228 230 240 242 258 260 306 308
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: 308
Found by: [SG-FC] hl
db: batch=82, k=14, 28 64 130 10 16 46

SPT(16)	2765176686405237943	0 4 28 88 94 126 144 150 154 160 178 210 216 276 300 304	-1262330817508
STPT(10)	2765176871208955031	0 2 6 8 48 50 90 92 96 98	-1077527100420
SPT(16)	2765177489586400429	0 58 90 100 132 144 184 192 220 228 268 280 312 322 354 412	-459149655022
SPT(16)	2765177503474826813	0 8 14 18 36 44 50 80 84 114 120 128 146 150 156 164	-445261228638
STPT(10)	2765177537504503391	0 2 6 8 48 50 90 92 96 98	-411231552060
STPT(10)	2765177737909187297	0 2 54 56 72 74 90 92 144 146	-210826868154
SPT(16)	2765178042950899691	0 36 98 120 126 140 152 180 218 246 258 272 278 300 362 398	94214844240
STPT(10)	2765178149519765891	0 2 6 8 18 20 30 32 36 38	200783710440
STPT(10)	2765178586092994439	0 2 18 20 30 32 42 44 60 62	637356938988
SPT(16)	2765178644942824597	0 4 34 40 82 100 102 114 142 154 156 174 216 222 252 256	696206769146
STPT(10)	2765178993220104707	0 2 30 32 120 122 210 212 240 242	1044484049256