Prime p₀= 1786400106454316777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 28 2 4 2 22 2 16 2 (?)
a_n: 0 2 12 14 54 56 84 86 90 92 114 116 132 134
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: 134
Found by: Orange Kid
db: batch=79, k=14, 10 40 28 4 22 16

TPT(14)	1786398794343546749	0 2 18 20 60 62 90 92 132 134 168 170 240 242	-1312110770028
SPT(16)	1786398952614982523	0 20 48 74 80 90 98 114 140 156 164 174 180 206 234 254	-1153839334254
STPT(10)	1786399261308319709	0 2 42 44 60 62 78 80 120 122	-845145997068
STPT(10)	1786399496974841297	0 2 42 44 132 134 222 224 264 266	-609479475480
STPT(10)	1786399892333639249	0 2 18 20 30 32 42 44 60 62	-214120677528
SPT(16)	1786399934355348121	0 6 42 52 60 88 138 160 228 250 300 328 336 346 382 388	-172098968656
SPT(16)	1786400298920634869	0 20 68 168 174 218 240 248 264 272 294 338 344 444 492 512	192466318092
STPT(10)	1786400851698108377	0 2 30 32 42 44 54 56 84 86	745243791600
SPT(16)	1786400857710997093	0 18 48 60 144 150 178 196 258 276 304 310 394 406 436 454	751256680316
STPT(10)	1786401062907437687	0 2 42 44 72 74 102 104 144 146	956453120910
SPT(16)	1786401481413674443	0 24 30 40 54 58 96 118 156 178 216 220 234 244 250 274	1374959357666