Prime p₀= 1127370109325398451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 40 2 94 2 52 2 64 2 (?)
a_n: 0 2 60 62 78 80 120 122 216 218 270 272 336 338
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: 338
Found by: crashtech
db: batch=76, k=14, 58 16 40 94 52 64

STPT(10)	1127369114709309971	0 2 36 38 78 80 120 122 156 158	-994616088480
SPT(16)	1127369208297636401	0 12 38 56 66 96 108 116 132 140 152 182 192 210 236 248	-901027762050
STPT(10)	1127369593682835299	0 2 18 20 30 32 42 44 60 62	-515642563152
SPT(16)	1127369663556808351	0 12 18 42 58 78 102 120 130 148 172 192 208 232 238 250	-445768590100
STPT(10)	1127369809976558999	0 2 12 14 90 92 168 170 180 182	-299348839452
STPT(10)	1127369832770070059	0 2 18 20 60 62 102 104 120 122	-276555328392
SPT(16)	1127370186356336239	0 42 48 52 84 154 184 192 220 228 258 328 360 364 370 412	77030937788
STPT(12)	1127370438950545259	0 2 30 32 42 44 150 152 162 164 192 194	329625146808
STPT(10)	1127370450794530637	0 2 30 32 60 62 90 92 120 122	341469132186
SPT(16)	1127370563713119379	0 30 34 40 78 148 180 190 258 268 300 370 408 414 418 448	454387720928
SPT(16)	1127370816550526159	0 20 24 44 68 84 122 140 222 240 278 294 318 338 342 362	707225127708