Prime p₀= 2802031689995167577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 64 2 10 2 28 2 16 2 22 2 (?)
a_n: 0 2 54 56 120 122 132 134 162 164 180 182 204 206
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: 206
Found by: [SG-FC] hl
db: batch=82, k=14, 52 64 10 28 16 22

STPT(10)	2802030621574981079	0 2 48 50 90 92 132 134 180 182	-1068420186498
SPT(16)	2802030922025051603	0 18 60 90 108 110 134 164 204 234 258 260 278 308 350 368	-767970115974
SPT(16)	2802031158307370839	0 100 120 142 168 262 280 288 322 330 348 442 468 490 510 610	-531687796738
SPT(16)	2802031185182788717	0 6 12 112 156 174 202 246 250 294 322 340 384 484 490 496	-504812378860
STPT(10)	2802031396934456987	0 2 24 26 42 44 60 62 84 86	-293060710590
STPT(10)	2802031582304507171	0 2 48 50 108 110 168 170 216 218	-107690660406
STPT(10)	2802031899320555567	0 2 30 32 42 44 54 56 84 86	209325387990
SPT(16)	2802031938150566609	0 38 80 98 102 120 134 138 164 168 182 200 204 222 264 302	248155399032
SPT(16)	2802033328591512629	0 8 12 54 74 98 110 120 122 132 144 168 188 230 234 242	1638596345052
TPT(14)	2802033665843678171	0 2 36 38 48 50 66 68 78 80 90 92 120 122	1975848510594
TPT(14)	2802033769091424947	0 2 60 62 102 104 162 164 204 206 210 212 294 296	2079096257370