Prime p₀= 2491508935032572447 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 76 2 28 2 10 2 58 2 40 2 (?)
a_n: 0 2 102 104 180 182 210 212 222 224 282 284 324 326
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: 326
Found by: JayPi
db: batch=82, k=14, 100 76 28 10 58 40

STPT(10)	2491507361497109117	0 2 30 32 42 44 54 56 84 86	-1573535463330
TPT(14)	2491508099952065639	0 2 18 20 168 170 210 212 222 224 228 230 240 242	-835080506808
SPT(16)	2491508251510662977	0 26 60 62 80 90 92 116 126 150 152 162 180 182 216 242	-683521909470
SPT(16)	2491508344265167049	0 18 62 78 102 104 120 168 194 242 258 260 284 300 344 362	-590767405398
SPT(16)	2491508636770760899	0 10 40 42 52 88 108 118 144 154 174 210 220 222 252 262	-298261811548
SPT(16)	2491508837453392849	0 28 30 42 60 78 88 144 148 204 214 232 250 262 264 292	-97579179598
STPT(10)	2491509356484610289	0 2 42 44 60 62 78 80 120 122	421452037842
SPT(16)	2491509472845353789	0 12 24 50 90 152 188 254 258 324 360 422 462 488 500 512	537812781342
STPT(10)	2491509489842208881	0 2 90 92 108 110 126 128 216 218	554809636434
STPT(10)	2491509490583163959	0 2 18 20 30 32 42 44 60 62	555550591512
STPT(10)	2491509856957835237	0 2 30 32 42 44 54 56 84 86	921925262790