Prime p₀= 1611464386457290361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 130 2 58 2 10 2 4 2 (?)
a_n: 0 2 66 68 126 128 258 260 318 320 330 332 336 338
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: 338
Found by: biodoc
db: batch=78, k=14, 64 58 130 58 10 4

SPT(16)	1611463326267929831	0 32 78 86 158 180 222 236 372 386 428 450 522 530 576 608	-1060189360530
STPT(10)	1611463327555855559	0 2 42 44 60 62 78 80 120 122	-1058901434802
STPT(10)	1611463475734679561	0 2 36 38 78 80 120 122 156 158	-910722610800
TPT(14)	1611463573524316271	0 2 180 182 216 218 270 272 336 338 366 368 420 422	-812932974090
TPT(14)	1611463639700676761	0 2 30 32 60 62 96 98 150 152 366 368 396 398	-746756613600
SPT(16)	1611464386374458179	0 22 28 42 72 78 82 84 328 330 334 340 370 384 390 412	-82832182
TPT(14)	1611464415705929177	0 2 54 56 72 74 150 152 180 182 264 266 282 284	29248638816
SPT(16)	1611465119012694823	0 54 70 76 190 204 226 238 246 258 280 294 408 414 430 484	732555404462
SPT(16)	1611465683871927757	0 34 42 46 54 60 112 126 130 144 196 202 210 214 222 256	1297414637396
SPT(16)	1611465684844303207	0 12 34 76 100 112 124 126 190 192 204 216 240 282 304 316	1298387012846
SPT(16)	1611465926023713407	0 14 42 44 104 114 140 152 174 186 212 222 282 284 312 326	1539566423046