Prime p₀= 1008467124906982751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 88 2 76 2 70 2 70 2 (?)
a_n: 0 2 36 38 48 50 138 140 216 218 288 290 360 362
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: 362
Found by: Theadalus
db: batch=76, k=14, 34 10 88 76 70 70

STPT(10)	1008465780204624347	0 2 60 62 72 74 84 86 144 146	-1344702358404
SPT(16)	1008466075909647997	0 6 12 36 52 64 76 82 204 210 222 234 250 274 280 286	-1048997334754
SPT(16)	1008466309591522109	0 98 102 108 128 150 168 188 234 254 272 294 314 320 324 422	-815315460642
SPT(16)	1008466355714914933	0 18 64 78 84 156 174 196 258 280 298 370 376 390 436 454	-769192067818
TPT(14)	1008466728341527727	0 2 72 74 192 194 240 242 294 296 312 314 354 356	-396565455024
TPT(14)	1008467009210310161	0 2 120 122 156 158 246 248 276 278 306 308 330 332	-115696672590
SPT(16)	1008467162870911231	0 82 112 120 148 166 222 232 306 316 372 390 418 426 456 538	37963928480
SPT(16)	1008467509107228061	0 28 40 58 78 100 138 162 238 262 300 322 342 360 372 400	384200245310
STPT(10)	1008467694205670117	0 2 12 14 42 44 72 74 84 86	569298687366
SPT(16)	1008467758488614087	0 20 72 110 152 170 174 182 222 230 234 252 294 332 384 404	633581631336
STPT(10)	1008467781037175867	0 2 42 44 72 74 102 104 144 146	656130193116