Prime p₀= 816418852142160581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 10 2 28 2 10 2 4 2 (?)
a_n: 0 2 18 20 96 98 108 110 138 140 150 152 156 158
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: 158
Found by: [SG]FX
db: batch=73, k=14, 16 76 10 28 10 4

SPT(16)	816418417534246451	0 72 86 162 198 210 246 270 278 302 338 350 386 462 476 548	-434607914130
STPT(10)	816418545897826217	0 2 24 26 192 194 360 362 384 386	-306244334364
SPT(16)	816418586610594313	0 16 34 36 54 76 90 106 168 184 198 220 238 240 258 274	-265531566268
STPT(10)	816418649806442117	0 2 30 32 42 44 54 56 84 86	-202335718464
SPT(16)	816418677537217873	0 6 46 54 70 96 130 144 196 210 244 270 286 294 334 340	-174604942708
SPT(16)	816418788390916757	0 30 56 144 186 212 224 246 260 282 294 320 362 450 476 506	-63751243824
SPT(16)	816418871090418341	0 26 50 116 126 146 168 170 186 188 210 230 240 306 330 356	18948257760
SPT(16)	816418984793668309	0 34 48 58 70 88 144 148 180 184 240 258 270 280 294 328	132651507728
SPT(16)	816418988475668057	0 30 32 36 42 62 90 116 186 212 240 260 266 270 272 302	136333507476
TPT(16)	816419189930095679	0 2 12 14 30 32 198 200 222 224 228 230 252 254 312 314	337787935098
STPT(10)	816419515241927879	0 2 42 44 60 62 78 80 120 122	663099767298