Prime p₀= 2565350850683194997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 52 2 118 2 64 2 22 2 (?)
a_n: 0 2 12 14 120 122 174 176 294 296 360 362 384 386
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: 386
Found by: [SG-FC] hl
db: batch=82, k=14, 10 106 52 118 64 22

SPT(16)	2565349014384922933	0 76 100 150 156 168 180 186 250 256 268 280 286 336 360 436	-1836298272064
TPT(14)	2565349304912100251	0 2 30 32 198 200 240 242 276 278 306 308 318 320	-1545771094746
STPT(10)	2565349401386190281	0 2 30 32 78 80 126 128 156 158	-1449297004716
TPT(14)	2565349814957754269	0 2 12 14 18 20 30 32 42 44 102 104 198 200	-1035725440728
STPT(10)	2565349999802975051	0 2 6 8 18 20 30 32 36 38	-850880219946
STPT(10)	2565350690348886227	0 2 60 62 72 74 84 86 144 146	-160334308770
SPT(16)	2565351133137658769	0 14 38 54 102 164 168 192 200 224 228 290 338 354 378 392	282454463772
STPT(10)	2565351255320879297	0 2 24 26 42 44 60 62 84 86	404637684300
SPT(16)	2565351421205130689	0 8 14 54 74 98 120 150 152 182 204 228 248 288 294 302	570521935692
SPT(16)	2565351883647924937	0 54 76 96 154 156 192 216 220 244 280 282 340 360 382 436	1032964729940
TPT(14)	2565351925652825051	0 2 30 32 66 68 78 80 150 152 198 200 240 242	1074969630054