Prime p₀= 2919649987623080729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 16 2 70 2 28 2 10 2 (?)
a_n: 0 2 12 14 90 92 108 110 180 182 210 212 222 224
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: 224
Found by: Landjunge
db: batch=82, k=14, 10 76 16 70 28 10

SPT(16)	2919646731670087891	0 10 16 36 40 66 162 180 208 226 322 348 352 372 378 388	-3255952992838
STPT(10)	2919646827675980879	0 2 78 80 120 122 162 164 240 242	-3159947099850
STPT(10)	2919646976760471467	0 2 42 44 72 74 102 104 144 146	-3010862609262
SPT(16)	2919648401550461369	0 8 78 84 138 182 194 224 288 318 330 374 428 434 504 512	-1586072619360
SPT(16)	2919649101227482121	0 50 120 138 158 210 212 240 290 318 320 372 392 410 480 530	-886395598608
STPT(12)	2919649986390681107	0 2 12 14 54 56 90 92 132 134 144 146	-1232399622
SPT(16)	2919650240550403609	0 88 90 138 162 168 184 204 208 228 244 250 274 322 324 412	252927322880
STPT(10)	2919650266179606929	0 2 12 14 30 32 48 50 60 62	278556526200
SPT(16)	2919650277847059359	0 12 14 30 54 140 144 210 212 278 282 368 392 408 410 422	290223978630
SPT(16)	2919650302321257871	0 16 48 66 78 100 186 268 288 370 456 478 490 508 540 556	314698177142
STPT(10)	2919650448985114847	0 2 30 32 60 62 90 92 120 122	461362034118