Prime p₀= 2768628684953071817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 28 2 40 2 64 2 10 2 (?)
a_n: 0 2 90 92 132 134 162 164 204 206 270 272 282 284
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: 284
Found by: RFGuy_KCCO
db: batch=82, k=14, 88 40 28 40 64 10

SPT(16)	2768627143478055611	0 38 66 96 140 168 258 290 306 338 428 456 500 530 558 596	-1541475016206
SPT(18)	2768627278587019793	0 14 38 66 80 84 86 146 150 164 168 228 230 234 248 276 300 314	-1406366052024
SPT(16)	2768627409957008359	0 42 70 84 112 114 148 162 250 264 298 300 328 342 370 412	-1274996063458
SPT(16)	2768627549935928081	0 8 38 60 92 168 170 176 192 198 200 276 308 330 360 368	-1135017143736
STPT(10)	2768628129235669397	0 2 54 56 72 74 90 92 144 146	-555717402420
SPT(16)	2768628270283132711	0 12 70 102 132 138 160 168 172 180 202 208 238 270 328 340	-414669939106
SPT(13)	2768629107669154241	0 30 36 78 150 156 198 240 246 318 360 366 396	422716082424
SPT(16)	2768629246569527563	0 6 10 18 40 106 190 210 214 234 318 384 406 414 418 424	561616455746
STPT(10)	2768629266539450021	0 2 66 68 138 140 210 212 276 278	581586378204
SPT(16)	2768629334525944223	0 14 26 38 54 74 80 140 144 204 210 230 246 258 270 284	649572872406
STPT(12)	2768629718762078957	0 2 30 32 42 44 90 92 102 104 132 134	1033809007140