Prime p₀= 1049203765630868291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 16 2 70 2 88 2 4 2 (?)
a_n: 0 2 90 92 120 122 138 140 210 212 300 302 306 308
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: 308
Found by: stoneageman
db: batch=76, k=14, 88 28 16 70 88 4

SPT(16)	1049202473600280673	0 46 70 84 88 108 114 150 154 190 196 216 220 234 258 304	-1292030587618
SPT(16)	1049202805378579403	0 6 26 30 80 96 168 170 234 236 308 324 374 378 398 404	-960252288888
SPT(16)	1049202861003249343	0 4 18 28 70 94 138 144 160 166 210 234 276 286 300 304	-904627618948
STPT(10)	1049203047187374347	0 2 72 74 102 104 132 134 204 206	-718443493944
SPT(16)	1049203372868555449	0 10 18 28 34 52 108 112 150 154 210 228 234 244 252 262	-392762312842
STPT(12)	1049203662783464819	0 2 42 44 78 80 252 254 288 290 330 332	-102847403472
TPT(14)	1049203910433927527	0 2 24 26 30 32 114 116 144 146 360 362 450 452	144803059236
SPT(16)	1049203920514482169	0 10 12 24 72 100 112 244 258 390 402 430 478 490 492 502	154883613878
STPT(10)	1049204044913258621	0 2 30 32 78 80 126 128 156 158	279282390330
SPT(16)	1049204931839229059	0 12 14 48 60 102 104 144 188 228 230 272 284 318 320 332	1166208360768
STPT(10)	1049205684069683027	0 2 30 32 42 44 54 56 84 86	1918438814736