Prime p₀= 2792142558742600541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 28 2 34 2 28 2 70 2 (?)
a_n: 0 2 36 38 60 62 90 92 126 128 156 158 228 230
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: 230
Found by: JayPi
db: batch=82, k=14, 34 22 28 34 28 70

SPT(18)	2792140286982946051	0 10 52 76 102 148 172 192 358 360 526 546 570 616 642 666 708 718	-2271759654490
TPT(14)	2792140383390610097	0 2 24 26 42 44 180 182 312 314 390 392 444 446	-2175351990444
SPT(16)	2792140744183600717	0 40 84 124 130 190 196 202 264 270 276 336 342 382 426 466	-1814558999824
SPT(16)	2792141131225779407	0 72 84 90 92 96 104 110 156 162 170 174 176 182 194 266	-1427516821134
SPT(16)	2792141486684037253	0 34 58 90 94 108 160 208 210 258 310 324 328 360 384 418	-1072058563288
SPT(16)	2792142377262770017	0 12 16 24 124 132 136 150 166 180 184 192 292 300 304 316	-181479830524
STPT(10)	2792142588491929817	0 2 60 62 72 74 84 86 144 146	29749329276
SPT(16)	2792142614121674119	0 22 40 54 118 132 154 174 208 228 250 264 328 342 360 382	55379073578
SPT(20)	2792143039090583447	0 14 26 42 44 126 156 164 240 276 320 356 432 440 470 552 554 570 582 596	480347982906
SPT(16)	2792143064983307977	0 12 34 82 84 112 154 156 250 252 294 322 324 372 394 406	506240707436
SPT(16)	2792143235500960529	0 42 110 114 140 158 200 210 212 222 264 282 308 312 380 422	676758359988