Prime p₀= 817124893993450961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 58 2 10 2 106 2 16 2 10 2 (?)
a_n: 0 2 18 20 78 80 90 92 198 200 216 218 228 230
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: 230
Found by: [SG]FX
db: batch=73, k=14, 16 58 10 106 16 10

STPT(10)	817124194089151811	0 2 36 38 78 80 120 122 156 158	-699904299150
SPT(16)	817124309844285013	0 30 106 114 204 256 270 280 324 334 348 400 490 498 574 604	-584149165948
SPT(16)	817124587029330413	0 18 54 78 120 164 168 194 234 260 264 308 350 374 410 428	-306964120548
STPT(10)	817124625281685947	0 2 30 32 72 74 114 116 144 146	-268711765014
STPT(10)	817124742076812887	0 2 84 86 132 134 180 182 264 266	-151916638074
TPT(14)	817124870950949399	0 2 60 62 102 104 168 170 252 254 312 314 390 392	-23042501562
SPT(16)	817124971508643599	0 8 18 42 92 110 140 168 272 300 330 348 398 422 432 440	77515192638
SPT(16)	817125060227891083	0 100 126 166 214 240 250 286 294 330 340 366 414 454 480 580	166234440122
STPT(10)	817125345099379397	0 2 42 44 72 74 102 104 144 146	451105928436
STPT(10)	817125464156227349	0 2 12 14 30 32 48 50 60 62	570162776388
SPT(16)	817125557293892059	0 28 48 70 72 100 108 114 118 124 132 160 162 184 204 232	663300441098