Prime p₀= 2216709470836972061 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 82 2 4 2 10 2 16 2 (?)
a_n: 0 2 30 32 66 68 150 152 156 158 168 170 186 188
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: 188
Found by: Landjunge
db: batch=81, k=14, 28 34 82 4 10 16

SPT(16)	2216708037531347779	0 12 72 100 132 144 258 292 300 334 448 460 492 520 580 592	-1433305624282
SPT(16)	2216708359349340851	0 2 30 96 102 140 186 192 200 206 252 290 296 362 390 392	-1111487631210
SPT(16)	2216708410609016993	0 36 44 56 78 84 86 110 114 138 140 146 168 180 188 224	-1060227955068
SPT(16)	2216708662867887791	0 36 78 96 150 168 182 210 248 276 290 308 362 380 422 458	-807969084270
STPT(12)	2216708681262823679	0 2 42 44 72 74 150 152 180 182 222 224	-789574148382
SPT(16)	2216708994884139029	0 60 68 110 114 138 162 180 182 200 224 248 252 294 302 362	-475952833032
SPT(16)	2216709553484071273	0 4 6 90 94 96 216 250 264 298 418 420 424 508 510 514	82647099212
STPT(10)	2216709643853914379	0 2 42 44 60 62 78 80 120 122	173016942318
STPT(10)	2216709958283646611	0 2 36 38 78 80 120 122 156 158	487446674550
SPT(16)	2216710950507631531	0 18 72 76 78 106 160 172 186 198 252 280 282 286 340 358	1479670659470
TPT(14)	2216711011133707199	0 2 12 14 72 74 102 104 150 152 168 170 210 212	1540296735138