Prime p₀= 2491734551858998931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 106 2 70 2 16 2 40 2 (?)
a_n: 0 2 6 8 90 92 198 200 270 272 288 290 330 332
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: 332
Found by: [SG-FC] hl
db: batch=82, k=14, 4 82 106 70 16 40

SPT(16)	2491733951230269113	0 18 26 36 54 68 86 96 158 168 186 200 218 228 236 254	-600628729818
SPT(16)	2491734011104276291	0 30 42 72 82 96 100 106 216 222 226 240 250 280 292 322	-540754722640
SPT(16)	2491734297371484457	0 24 34 52 76 94 102 112 144 154 162 180 204 222 232 256	-254487514474
STPT(10)	2491734297442434599	0 2 42 44 60 62 78 80 120 122	-254416564332
STPT(10)	2491734382230308987	0 2 90 92 102 104 114 116 204 206	-169628689944
SPT(18)	2491734397766910239	0 14 30 84 102 108 128 150 158 234 242 264 284 290 308 362 378 392	-154092088692
STPT(10)	2491735680842240429	0 2 42 44 60 62 78 80 120 122	1128983241498
SPT(16)	2491735890031200023	0 18 26 30 44 68 74 120 134 180 186 210 224 228 236 254	1338172201092
SPT(16)	2491735963390413463	0 28 66 76 100 118 150 166 168 184 216 234 258 268 306 334	1411531414532
TPT(14)	2491736553522168371	0 2 18 20 108 110 156 158 336 338 408 410 420 422	2001663169440
STPT(10)	2491736719542608429	0 2 78 80 150 152 222 224 300 302	2167683609498