Prime p₀= 2310284512873018037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 112 2 34 2 52 2 34 2 (?)
a_n: 0 2 12 14 30 32 144 146 180 182 234 236 270 272
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: FritzB
db: batch=81, k=14, 10 16 112 34 52 34

STPT(10)	2310282364230678977	0 2 12 14 42 44 72 74 84 86	-2148642339060
SPT(16)	2310282418711541887	0 40 84 100 106 144 166 172 324 330 352 390 396 412 456 496	-2094161476150
SPT(16)	2310283145210321657	0 26 32 120 126 150 186 192 194 200 236 260 266 354 360 386	-1367662696380
STPT(10)	2310283208989753901	0 2 36 38 78 80 120 122 156 158	-1303883264136
SPT(20)	2310283632522062663	0 20 26 36 48 68 104 110 138 200 204 266 294 300 336 356 368 378 384 404	-880350955374
SPT(16)	2310284076727405697	0 2 20 72 80 114 116 122 234 240 242 276 284 336 354 356	-436145612340
SPT(16)	2310284999220233141	0 8 18 32 56 120 122 150 278 306 308 372 396 410 420 428	486347215104
SPT(16)	2310285021719693519	0 12 74 102 144 242 252 264 428 440 450 548 590 618 680 692	508846675482
SPT(16)	2310285295018812929	0 12 20 54 68 74 102 164 168 230 258 264 278 312 320 332	782145794892
TPT(14)	2310285697354417637	0 2 24 26 84 86 114 116 150 152 162 164 240 242	1184481399600
STPT(10)	2310286125678565031	0 2 6 8 48 50 90 92 96 98	1612805546994