Prime p₀= 2085855280617864527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 4 2 22 2 58 2 124 2 (?)
a_n: 0 2 30 32 114 116 120 122 144 146 204 206 330 332
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: 332
Found by: Landjunge
db: batch=80, k=14, 28 82 4 22 58 124

SPT(16)	2085852920232855733	0 10 18 36 60 78 100 120 136 156 178 196 220 238 246 256	-2360385008794
STPT(10)	2085853485577872719	0 2 42 44 60 62 78 80 120 122	-1795039991808
SPT(16)	2085853619592213517	0 16 22 70 72 100 102 112 114 124 126 154 156 204 210 226	-1661025651010
STPT(10)	2085853619592213587	0 2 30 32 42 44 54 56 84 86	-1661025650940
SPT(16)	2085854772721787971	0 18 30 46 78 120 126 148 150 172 178 220 252 268 280 298	-507896076556
STPT(10)	2085855214247295479	0 2 18 20 30 32 42 44 60 62	-66370569048
STPT(10)	2085855373561372079	0 2 18 20 30 32 42 44 60 62	92943507552
TPT(16)	2085855601727567399	0 2 30 32 78 80 120 122 210 212 228 230 270 272 342 344	321109702872
TPT(14)	2085855680007206669	0 2 72 74 90 92 168 170 210 212 240 242 468 470	399389342142
SPT(16)	2085855771010684859	0 2 8 18 42 92 140 198 314 372 420 470 494 504 510 512	490392820332
SPT(16)	2085855960223798673	0 36 84 96 126 150 164 180 224 240 254 278 308 320 368 404	679605934146