Prime p₀= 1144182370905159281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 124 2 28 2 40 2 58 2 (?)
a_n: 0 2 48 50 90 92 216 218 246 248 288 290 348 350
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: 350
Found by: Theadalus
db: batch=76, k=14, 46 40 124 28 40 58

STPT(10)	1144180910352420737	0 2 30 32 42 44 54 56 84 86	-1460552738544
SPT(16)	1144181139432525521	0 38 110 120 162 218 228 272 306 350 360 416 458 468 540 578	-1231472633760
STPT(10)	1144181529294571121	0 2 6 8 48 50 90 92 96 98	-841610588160
SPT(16)	1144181792795729801	0 26 32 36 42 92 150 152 276 278 336 386 392 396 402 428	-578109429480
STPT(10)	1144181895780766877	0 2 60 62 72 74 84 86 144 146	-475124392404
SPT(16)	1144182018422330929	0 12 42 94 108 118 132 142 150 160 174 184 198 250 280 292	-352482828352
STPT(10)	1144182886419961481	0 2 30 32 60 62 90 92 120 122	515514802200
SPT(16)	1144183188813742381	0 10 90 96 108 118 132 150 178 196 210 220 232 238 318 328	817908583100
STPT(12)	1144183870221852767	0 2 222 224 234 236 270 272 282 284 504 506	1499316693486
STPT(10)	1144184093203729187	0 2 30 32 42 44 54 56 84 86	1722298569906
SPT(18)	1144184547854290651	0 46 48 60 78 88 108 118 148 198 228 238 258 268 286 298 300 346	2176949131370