Prime p₀= 1236519351925590617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 16 2 82 2 16 2 10 2 28 2 (?)
a_n: 0 2 132 134 150 152 234 236 252 254 264 266 294 296
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: 296
Found by: vinn@[CNT]
db: batch=77, k=14, 130 16 82 16 10 28

STPT(10)	1236517856568255029	0 2 18 20 30 32 42 44 60 62	-1495357335588
SPT(16)	1236518427282668557	0 30 76 130 184 196 216 250 300 334 354 366 420 474 520 550	-924642922060
SPT(16)	1236518709308501009	0 24 30 32 48 74 80 98 114 132 138 164 180 182 188 212	-642617089608
TPT(14)	1236518901259955021	0 2 60 62 126 128 210 212 216 218 288 290 330 332	-450665635596
SPT(18)	1236519024995791079	0 60 78 98 114 180 182 200 210 212 222 240 242 308 324 344 362 422	-326929799538
SPT(16)	1236519142345811459	0 20 32 44 50 92 174 182 192 200 282 324 330 342 354 374	-209579779158
STPT(10)	1236519391615967057	0 2 30 32 42 44 54 56 84 86	39690376440
SPT(16)	1236519531801116921	0 12 56 78 96 122 150 200 228 278 306 332 350 372 416 428	179875526304
SPT(16)	1236519969864619339	0 18 30 48 58 70 78 84 118 124 132 144 154 172 184 202	617939028722
SPT(16)	1236520258349844487	0 22 76 82 94 106 112 126 160 174 180 192 204 210 264 286	906424253870
SPT(16)	1236521491848761351	0 38 48 80 90 140 162 182 318 338 360 410 420 452 462 500	2139923170734