Prime p₀= 1855250600640835709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 58 2 76 2 28 2 28 2 22 2 (?)
a_n: 0 2 150 152 210 212 288 290 318 320 348 350 372 374
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: 374
Found by: Paul
db: batch=79, k=14, 148 58 76 28 28 22

STPT(10)	1855249659632507189	0 2 18 20 60 62 102 104 120 122	-941008328520
SPT(16)	1855250044733348591	0 20 26 80 98 182 198 210 278 290 306 390 408 462 468 488	-555907487118
SPT(16)	1855250225497505687	0 30 44 56 134 146 174 186 200 212 240 252 330 342 356 386	-375143330022
SPT(16)	1855250300715764987	0 30 56 114 126 152 182 210 236 264 294 320 332 390 416 446	-299925070722
SPT(16)	1855250553519373867	0 10 22 52 70 84 90 112 114 136 142 156 174 204 216 226	-47121461842
SPT(18)	1855250579668871897	0 36 42 54 74 80 116 140 180 206 246 270 306 312 332 344 350 386	-20971963812
SPT(13)	1855250748088973461	0 30 42 72 90 108 120 132 150 168 198 210 240	147448137752
SPT(16)	1855250779366219559	0 20 38 48 74 122 132 140 192 200 210 258 284 294 312 332	178725383850
SPT(16)	1855250819858603887	0 16 30 102 124 180 196 202 234 240 256 312 334 406 420 436	219217768178
SPT(16)	1855250955499070797	0 66 84 136 204 250 252 274 282 304 306 352 420 472 490 556	354858235088
STPT(10)	1855251015122665241	0 2 6 8 48 50 90 92 96 98	414481829532