Prime p₀= 819819354614594921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 10 2 28 2 16 2 (?)
a_n: 0 2 30 32 66 68 96 98 108 110 138 140 156 158
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: [SG-2W]Kurzer
db: batch=73, k=14, 28 34 28 10 28 16

SPT(16)	819817807031850049	0 30 48 70 90 114 132 168 184 220 238 262 282 304 322 352	-1547582744872
SPT(16)	819818444842307411	0 18 20 36 138 152 156 176 222 242 246 260 362 378 380 398	-909772287510
SPT(16)	819818507261175977	0 20 90 92 140 146 170 176 210 216 240 246 294 296 366 386	-847353418944
STPT(10)	819818889103110971	0 2 6 8 48 50 90 92 96 98	-465511483950
SPT(16)	819819052543646191	0 18 106 138 148 156 168 210 268 310 322 330 340 372 460 478	-302070948730
SPT(16)	819819076636961707	0 12 34 60 120 124 144 186 280 322 342 346 406 432 454 466	-277977633214
SPT(16)	819819545298342131	0 102 132 170 180 246 252 278 330 356 362 428 438 476 506 608	190683747210
SPT(16)	819819598322497319	0 2 42 50 68 114 204 242 330 368 458 504 522 530 570 572	243707902398
TPT(14)	819820405971297389	0 2 72 74 168 170 180 182 192 194 198 200 240 242	1051356702468
SPT(16)	819820429996369619	0 2 30 38 80 98 104 108 164 168 174 192 234 242 270 272	1075381774698
STPT(10)	819820640799943397	0 2 24 26 42 44 60 62 84 86	1286185348476