Prime p₀= 2780648322187078961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 16 2 46 2 40 2 40 2 (?)
a_n: 0 2 36 38 60 62 78 80 126 128 168 170 210 212
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: 212
Found by: conf [MM]
db: batch=82, k=14, 34 22 16 46 40 40

SPT(16)	2780646678834780577	0 12 30 100 112 142 210 222 250 262 330 360 372 442 460 472	-1643352298384
STPT(10)	2780646734772251087	0 2 12 14 42 44 72 74 84 86	-1587414827874
SPT(16)	2780646758201299279	0 10 40 70 78 90 118 168 172 222 250 262 270 300 330 340	-1563985779682
SPT(16)	2780647235103750629	0 8 14 18 44 74 102 162 260 320 348 378 404 408 414 422	-1087083328332
STPT(10)	2780647352307141797	0 2 30 32 42 44 54 56 84 86	-969879937164
TPT(14)	2780647972755358997	0 2 102 104 252 254 342 344 384 386 390 392 492 494	-349431719964
STPT(10)	2780648383999031009	0 2 48 50 60 62 72 74 120 122	61811952048
SPT(16)	2780648424108366961	0 6 22 42 48 66 106 118 120 132 172 190 196 216 232 238	101921288000
SPT(16)	2780648683613574349	0 28 52 60 78 102 108 114 148 154 160 184 202 210 234 262	361426495388
STPT(10)	2780649213044270747	0 2 54 56 132 134 210 212 264 266	890857191786
SPT(16)	2780649275641231783	0 10 18 48 66 78 94 96 118 120 136 148 166 196 204 214	953454152822