Prime p₀= 1081996633917317861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 10 2 40 2 16 2 16 2 (?)
a_n: 0 2 30 32 66 68 78 80 120 122 138 140 156 158
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: 158
Found by: Theadalus
db: batch=76, k=14, 28 34 10 40 16 16

SPT(16)	1081995520516689529	0 28 60 70 102 132 190 234 298 342 400 430 462 472 504 532	-1113400628332
SPT(16)	1081995675326358077	0 6 50 80 84 90 102 126 140 164 176 182 186 216 260 266	-958590959784
SPT(16)	1081995728372922563	0 56 68 104 110 114 116 156 158 198 200 204 210 246 258 314	-905544395298
STPT(10)	1081995747424594547	0 2 30 32 42 44 54 56 84 86	-886492723314
SPT(16)	1081995884003497679	0 60 80 104 192 222 270 284 348 362 410 440 528 552 572 632	-749913820182
SPT(16)	1081995918879530521	0 138 150 168 210 250 262 292 306 336 348 388 430 448 460 598	-715037787340
TPT(14)	1081997171144966507	0 2 12 14 72 74 270 272 300 302 342 344 354 356	537227648646
STPT(10)	1081997199752173277	0 2 24 26 42 44 60 62 84 86	565834855416
SPT(16)	1081997203941657869	0 20 50 110 144 152 258 270 302 314 420 428 462 522 552 572	570024340008
STPT(10)	1081997266407866351	0 2 6 8 48 50 90 92 96 98	632490548490
SPT(16)	1081998112844368411	0 18 42 118 138 238 328 336 352 360 450 550 570 646 670 688	1478927050550