Prime p₀= 1828624977897662639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 10 2 10 2 154 2 10 2 (?)
a_n: 0 2 30 32 78 80 90 92 102 104 258 260 270 272
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: 272
Found by: arkiss
db: batch=79, k=14, 28 46 10 10 154 10

SPT(16)	1828623641482497911	0 8 30 86 120 128 150 156 260 266 288 296 330 386 408 416	-1336415164728
STPT(10)	1828623904610327129	0 2 48 50 90 92 132 134 180 182	-1073287335510
SPT(16)	1828623965928561047	0 24 30 36 114 120 204 246 254 296 380 386 464 470 476 500	-1011969101592
STPT(10)	1828624397590376249	0 2 48 50 90 92 132 134 180 182	-580307286390
TPT(14)	1828624633277065529	0 2 12 14 42 44 78 80 90 92 120 122 138 140	-344620597110
SPT(16)	1828624645928609741	0 2 38 60 182 188 198 216 242 260 270 276 398 420 456 458	-331969052898
SPT(16)	1828624997524047907	0 4 66 72 84 112 114 130 156 172 174 202 214 220 282 286	19626385268
SPT(16)	1828625011324091711	0 20 38 68 78 126 188 206 222 240 302 350 360 390 408 428	33426429072
STPT(10)	1828625586379281629	0 2 18 20 30 32 42 44 60 62	608481618990
STPT(12)	1828625724028002749	0 2 12 14 42 44 48 50 78 80 90 92	746130340110
SPT(16)	1828625969506120913	0 44 78 86 98 116 120 134 150 164 168 186 198 206 240 284	991608458274