Prime p₀= 2567415990481901759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 106 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 90 92 198 200 222 224 228 230 252 254 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 88 106 22 4 22 16

STPT(10)	2567414668167313379	0 2 48 50 60 62 72 74 120 122	-1322314588380
SPT(16)	2567414764214369687	0 2 24 36 44 92 126 134 192 200 234 282 290 302 324 326	-1226267532072
TPT(14)	2567414817527798681	0 2 120 122 186 188 210 212 216 218 366 368 408 410	-1172954103078
SPT(16)	2567415417464520781	0 78 88 118 156 168 198 228 268 298 328 340 378 408 418 496	-573017380978
SPT(16)	2567415743435449561	0 12 30 58 88 90 100 142 186 228 238 240 270 298 316 328	-247046452198
SPT(16)	2567415972617388377	0 14 24 56 84 102 150 156 170 176 224 242 270 302 312 326	-17864513382
SPT(16)	2567416612983424913	0 8 74 90 120 138 168 188 210 230 260 278 308 324 390 398	622501523154
SPT(16)	2567416752069511709	0 44 90 92 132 252 278 288 314 324 350 470 510 512 558 602	761587609950
SPT(16)	2567416756992858833	0 18 24 38 44 54 60 84 170 194 200 210 216 230 236 254	766510957074
SPT(16)	2567417244165770449	0 10 40 102 120 154 172 204 220 252 270 304 322 384 414 424	1253683868690
STPT(10)	2567417340799777577	0 2 42 44 72 74 102 104 144 146	1350317875818