Prime p₀= 902529132931131491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 46 2 40 2 16 2 28 2 (?)
a_n: 0 2 36 38 78 80 126 128 168 170 186 188 216 218
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: 218
Found by: stoneageman
db: batch=76, k=14, 34 40 46 40 16 28

SPT(16)	902527379758097983	0 16 40 70 96 130 148 154 180 186 204 238 264 294 318 334	-1753173033508
SPT(16)	902527532872234943	0 14 18 20 44 50 56 78 86 108 114 120 144 146 150 164	-1600058896548
STPT(10)	902527854183919277	0 2 30 32 42 44 54 56 84 86	-1278747212214
SPT(16)	902528173469902883	0 18 68 74 144 150 158 168 236 246 254 260 330 336 386 404	-959461228608
SPT(16)	902528499909197393	0 18 24 84 108 116 128 134 150 156 168 176 200 260 266 284	-633021934098
SPT(18)	902528502007238443	0 10 36 54 108 130 234 250 364 390 504 520 624 646 700 718 744 754	-630923893048
STPT(10)	902529148528343429	0 2 30 32 60 62 90 92 120 122	15597211938
STPT(10)	902529153659122877	0 2 30 32 42 44 54 56 84 86	20727991386
SPT(16)	902529264639573107	0 32 36 50 56 80 102 140 186 224 246 270 276 290 294 326	131708441616
SPT(16)	902529392132107307	0 14 32 60 66 116 144 150 236 242 270 320 326 354 372 386	259200975816
SPT(16)	902529569454807269	0 20 48 78 134 188 192 222 260 290 294 348 404 434 462 482	436523675778