Prime p₀= 1016316914213203739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 58 2 10 2 16 2 22 2 (?)
a_n: 0 2 42 44 48 50 108 110 120 122 138 140 162 164
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: 164
Found by: mcf2020
db: batch=76, k=14, 40 4 58 10 16 22

SPT(16)	1016315370720331771	0 6 48 82 88 172 196 202 426 432 456 540 546 580 622 628	-1543492871968
SPT(16)	1016315383964864303	0 14 24 38 56 104 108 126 158 176 180 228 246 260 270 284	-1530248339436
SPT(16)	1016315619666264607	0 16 22 34 42 70 126 174 232 280 336 364 372 384 390 406	-1294546939132
SPT(16)	1016316247998164963	0 26 36 150 210 236 248 258 266 276 288 314 374 488 498 524	-666215038776
TPT(14)	1016316704593755137	0 2 72 74 210 212 222 224 240 242 312 314 420 422	-209619448602
SPT(16)	1016316766237411073	0 18 44 54 56 114 120 134 270 284 290 348 350 360 386 404	-147975792666
STPT(10)	1016317172963702549	0 2 42 44 60 62 78 80 120 122	258750498810
SPT(18)	1016317182876139751	0 66 68 90 92 98 126 230 252 326 348 452 480 486 488 510 512 578	268662936012
TPT(14)	1016317279397871149	0 2 12 14 18 20 108 110 180 182 282 284 318 320	365184667410
SPT(16)	1016317401082530623	0 96 104 116 146 180 194 206 258 270 284 318 348 360 368 464	486869326884
SPT(16)	1016317541708828587	0 40 42 82 120 172 210 264 280 334 372 424 462 502 504 544	627495624848