Prime p₀= 2451649144800308669 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 46 2 100 2 16 2 10 2 40 2 (?)
a_n: 0 2 60 62 108 110 210 212 228 230 240 242 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 58 46 100 16 10 40

STPT(10)	2451647246557392617	0 2 30 32 42 44 54 56 84 86	-1898242916052
STPT(10)	2451647431225252847	0 2 30 32 72 74 114 116 144 146	-1713575055822
SPT(16)	2451647984960657941	0 16 58 82 120 150 160 162 196 198 208 238 276 300 342 358	-1159839650728
SPT(16)	2451648402608216909	0 42 54 62 104 128 132 144 278 290 294 318 360 368 380 422	-742192091760
SPT(16)	2451648413481590483	0 18 30 68 86 90 138 140 144 146 194 198 216 254 266 284	-731318718186
STPT(10)	2451648472992841007	0 2 54 56 72 74 90 92 144 146	-671807467662
STPT(10)	2451649152034856507	0 2 30 32 42 44 54 56 84 86	7234547838
SPT(16)	2451649521922316357	0 36 42 56 92 96 104 222 224 342 350 354 390 404 410 446	377122007688
STPT(10)	2451649559714964899	0 2 12 14 90 92 168 170 180 182	414914656230
STPT(10)	2451650083579397807	0 2 30 32 42 44 54 56 84 86	938779089138
SPT(16)	2451650536861709129	0 20 84 90 92 122 144 200 234 290 312 342 344 350 414 434	1392061400460