Prime p₀= 863787161240593979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 28 2 106 2 10 2 16 2 (?)
a_n: 0 2 30 32 102 104 132 134 240 242 252 254 270 272
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: 272
Found by: jozef j
db: batch=73, k=14, 28 70 28 106 10 16

SPT(16)	863785955197561997	0 12 14 24 122 150 152 164 252 264 266 294 392 402 404 416	-1206043031982
TPT(14)	863786186832106451	0 2 6 8 60 62 198 200 210 212 240 242 258 260	-974408487528
STPT(10)	863786810206731251	0 2 36 38 78 80 120 122 156 158	-351033862728
TPT(14)	863786997753177389	0 2 12 14 78 80 90 92 108 110 138 140 180 182	-163487416590
SPT(16)	863787095450017379	0 2 72 120 134 182 188 242 270 324 330 378 392 440 510 512	-65790576600
SPT(16)	863787101058659101	0 10 30 46 60 100 108 136 192 220 228 268 282 298 318 328	-60181934878
SPT(16)	863787191397249499	0 28 84 108 144 154 162 184 198 220 228 238 274 298 354 382	30156655520
SPT(16)	863787237315053581	0 18 22 40 46 60 76 102 106 132 148 162 168 186 190 208	76074459602
TPT(14)	863787673601443697	0 2 42 44 84 86 120 122 150 152 252 254 264 266	512360849718
STPT(10)	863787997459084679	0 2 18 20 60 62 102 104 120 122	836218490700
SPT(16)	863788247879645107	0 6 34 40 42 90 132 166 210 244 286 334 336 342 370 376	1086639051128