Prime p₀= 864819797728819949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 16 2 10 2 28 2 94 2 (?)
a_n: 0 2 42 44 102 104 120 122 132 134 162 164 258 260
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: 260
Found by: sellyme
db: batch=73, k=14, 40 58 16 10 28 94

SPT(16)	864818347187811607	0 6 10 22 30 34 94 106 120 132 192 196 204 216 220 226	-1450541008342
SPT(16)	864818368610622029	0 8 14 42 48 50 62 90 92 120 132 134 140 168 174 182	-1429118197920
SPT(20)	864818535238202749	0 10 22 52 78 84 88 102 144 204 298 358 400 414 418 424 450 480 492 502	-1262490617200
SPT(16)	864819123975459337	0 34 90 102 112 114 124 216 220 312 322 324 334 346 402 436	-673753360612
SPT(16)	864819623375930597	0 44 50 92 110 174 224 260 264 300 350 414 432 474 480 524	-174352889352
STPT(10)	864819628657127357	0 2 30 32 42 44 54 56 84 86	-169071692592
SPT(16)	864819889761491249	0 18 20 54 78 144 150 204 248 302 308 374 398 432 434 452	92032671300
STPT(12)	864820374678053009	0 2 72 74 102 104 108 110 138 140 210 212	576949233060
STPT(10)	864821090151331457	0 2 60 62 72 74 84 86 144 146	1292422511508
STPT(10)	864821363639991851	0 2 30 32 60 62 90 92 120 122	1565911171902
STPT(10)	864821535439406549	0 2 42 44 90 92 138 140 180 182	1737710586600