Prime p₀= 2390555570968242089 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 64 2 112 2 64 2 388 2 40 2 (?)
a_n: 0 2 102 104 168 170 282 284 348 350 738 740 780 782
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: 782
Found by: Coleslaw
db: batch=81, k=14, 100 64 112 64 388 40

SPT(16)	2390553952241613449	0 74 102 104 132 152 162 168 194 200 210 230 258 260 288 362	-1618726628640
STPT(10)	2390554217666394881	0 2 6 8 48 50 90 92 96 98	-1353301847208
STPT(10)	2390554419970708631	0 2 6 8 48 50 90 92 96 98	-1150997533458
STPT(10)	2390554626406203149	0 2 12 14 90 92 168 170 180 182	-944562038940
STPT(10)	2390554746822945047	0 2 42 44 72 74 102 104 144 146	-824145297042
SPT(16)	2390555560055342749	0 24 90 144 154 174 192 210 244 262 280 300 310 364 430 454	-10912899340
STPT(10)	2390557415188518941	0 2 30 32 78 80 126 128 156 158	1844220276852
SPT(16)	2390557536217305743	0 36 66 80 114 144 168 176 228 236 260 290 324 338 368 404	1965249063654
STPT(10)	2390557742056860581	0 2 6 8 18 20 30 32 36 38	2171088618492
SPT(16)	2390558080447657411	0 16 22 42 46 88 96 142 186 232 240 282 286 306 312 328	2509479415322
SPT(16)	2390558118978926693	0 14 20 44 54 66 90 114 140 164 188 200 210 234 240 254	2548010684604