Prime p₀= 2512719526316998511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 4 2 160 2 10 2 4 2 (?)
a_n: 0 2 6 8 30 32 36 38 198 200 210 212 216 218
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: 218
Found by: [SG-FC] hl
db: batch=82, k=14, 4 22 4 160 10 4

SPT(16)	2512718248189643107	0 6 12 66 82 84 136 172 174 210 262 264 280 334 340 346	-1278127355404
SPT(16)	2512718478016399607	0 26 44 50 56 210 240 246 314 320 350 504 510 516 534 560	-1048300598904
SPT(16)	2512718688379666969	0 28 42 48 180 184 222 252 310 340 378 382 514 520 534 562	-837937331542
TPT(14)	2512719007909430207	0 2 54 56 60 62 114 116 270 272 354 356 420 422	-518407568304
STPT(10)	2512719144721144529	0 2 18 20 60 62 102 104 120 122	-381595853982
SPT(16)	2512719250413649301	0 6 8 48 66 126 146 168 170 192 212 272 290 330 332 338	-275903349210
SPT(16)	2512719542644509391	0 30 36 40 78 88 102 130 138 166 180 190 228 232 238 268	16327510880
SPT(16)	2512719770134020011	0 12 36 92 116 120 132 138 140 146 158 162 186 242 266 278	243817021500
STPT(10)	2512719788773182797	0 2 30 32 42 44 54 56 84 86	262456184286
SPT(16)	2512719883602281329	0 18 28 40 54 58 60 120 148 208 210 214 228 240 250 268	357285282818
SPT(16)	2512720077105122293	0 24 28 30 36 66 84 90 94 100 118 148 154 156 160 184	550788123782