Prime p₀= 1298069408821014629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 106 2 58 2 22 2 46 2 106 2 (?)
a_n: 0 2 90 92 198 200 258 260 282 284 330 332 438 440
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: 440
Found by: HenkM
db: batch=77, k=14, 88 106 58 22 46 106

SPT(16)	1298066762018532101	0 12 30 56 66 122 228 248 270 290 396 452 462 488 506 518	-2646802482528
SPT(16)	1298067658059243581	0 6 26 66 72 98 108 126 212 230 240 266 272 312 332 338	-1750761771048
STPT(10)	1298068068055403339	0 2 30 32 60 62 90 92 120 122	-1340765611290
STPT(10)	1298068396183160351	0 2 36 38 78 80 120 122 156 158	-1012637854278
SPT(16)	1298069115696362551	0 12 22 40 70 100 150 168 190 208 258 288 318 336 346 358	-293124652078
SPT(16)	1298069389857252179	0 12 14 84 150 230 254 264 308 318 342 422 488 558 560 572	-18963762450
SPT(16)	1298069835251444599	0 10 18 28 78 82 102 114 178 190 210 214 264 274 282 292	426430429970
STPT(10)	1298069873094110321	0 2 6 8 18 20 30 32 36 38	464273095692
STPT(10)	1298070151864337177	0 2 42 44 72 74 102 104 144 146	743043322548
SPT(16)	1298070610177033829	0 8 14 38 50 114 120 140 162 182 188 252 264 288 294 302	1201356019200
SPT(16)	1298070653850087431	0 30 56 62 90 98 110 140 198 228 240 248 276 282 308 338	1245029072802