Prime p₀= 2042028447785002991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 70 2 16 2 28 2 22 2 (?)
a_n: 0 2 30 32 66 68 138 140 156 158 186 188 210 212
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: 212
Found by: Dingo
db: batch=80, k=14, 28 34 70 16 28 22

SPT(16)	2042027325017767561	0 6 12 28 40 52 96 162 166 232 276 288 300 316 322 328	-1122767235430
SPT(16)	2042027443508626669	0 58 82 102 120 144 172 214 348 390 418 442 460 480 504 562	-1004276376322
TPT(14)	2042027508426312917	0 2 24 26 42 44 54 56 102 104 240 242 264 266	-939358690074
STPT(10)	2042027772951710189	0 2 48 50 60 62 72 74 120 122	-674833292802
SPT(16)	2042028104597913403	0 10 24 28 48 66 100 156 178 234 268 286 306 310 324 334	-343187089588
SPT(16)	2042028106590483941	0 66 80 90 108 182 186 212 336 362 366 440 458 468 482 548	-341194519050
SPT(16)	2042028541992939623	0 6 8 30 96 116 188 210 314 336 408 428 494 516 518 524	94207936632
STPT(10)	2042029257652152719	0 2 18 20 30 32 42 44 60 62	809867149728
SPT(16)	2042029713294685693	0 24 64 76 96 106 130 154 186 210 234 244 264 276 316 340	1265509682702
SPT(16)	2042029763398230227	0 72 156 182 230 252 276 290 402 416 440 462 510 536 620 692	1315613227236
SPT(16)	2042029916369332583	0 30 36 38 68 126 140 168 236 264 278 336 366 368 374 404	1468584329592