Prime p₀= 1103537413382365781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 40 2 58 2 130 2 76 2 (?)
a_n: 0 2 66 68 96 98 138 140 198 200 330 332 408 410
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: 410
Found by: ginga
db: batch=76, k=14, 64 28 40 58 130 76

SPT(16)	1103536653708378733	0 34 114 156 174 216 258 264 310 316 358 400 418 460 540 574	-759673987048
STPT(10)	1103536959083240291	0 2 36 38 78 80 120 122 156 158	-454299125490
SPT(16)	1103537016110713637	0 6 24 26 50 60 84 122 204 242 266 276 300 302 320 326	-397271652144
STPT(10)	1103537030516862881	0 2 36 38 78 80 120 122 156 158	-382865502900
STPT(10)	1103537335564235189	0 2 48 50 60 62 72 74 120 122	-77818130592
STPT(10)	1103537346941000681	0 2 78 80 108 110 138 140 216 218	-66441365100
SPT(16)	1103537470238503037	0 12 30 44 66 84 156 194 222 260 332 350 372 386 404 416	56856137256
SPT(16)	1103537690629218571	0 6 30 48 52 70 88 112 156 180 198 216 220 238 262 268	277246852790
SPT(16)	1103538056416731521	0 20 36 42 62 110 126 132 230 236 252 300 320 326 342 362	643034365740
SPT(16)	1103538166144626103	0 6 24 28 34 154 166 220 234 288 300 420 426 430 448 454	752762260322
STPT(10)	1103538197572301609	0 2 18 20 30 32 42 44 60 62	784189935828