Prime p₀= 2239371505835287247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 16 2 148 2 28 2 40 2 (?)
a_n: 0 2 54 56 72 74 90 92 240 242 270 272 312 314
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: 314
Found by: JayPi
db: batch=81, k=14, 52 16 16 148 28 40

SPT(16)	2239370180496961207	0 10 34 54 66 72 100 112 264 276 304 310 322 342 366 376	-1325338326040
SPT(16)	2239370265559849991	0 6 56 90 116 170 182 210 218 246 258 312 338 372 422 428	-1240275437256
SPT(16)	2239370288978173187	0 26 42 74 90 102 116 162 194 240 254 266 282 314 330 356	-1216857114060
SPT(16)	2239370309030191067	0 12 26 42 56 84 86 96 110 120 122 150 164 180 194 206	-1196805096180
STPT(10)	2239370370342159797	0 2 30 32 42 44 54 56 84 86	-1135493127450
SPT(16)	2239370573906579279	0 20 38 50 62 84 92 108 134 150 158 180 192 204 222 242	-931928707968
SPT(16)	2239372439500993673	0 6 56 66 134 144 164 170 204 210 230 240 308 318 368 374	933665706426
STPT(10)	2239372527476007527	0 2 84 86 162 164 240 242 324 326	1021640720280
STPT(10)	2239373002445212721	0 2 6 8 48 50 90 92 96 98	1496609925474
SPT(16)	2239373729753264809	0 48 78 108 118 150 154 202 210 258 262 294 304 334 364 412	2223917977562
SPT(18)	2239374318570897493	0 24 66 76 88 124 126 130 144 370 384 388 390 426 438 448 490 514	2812735610246