Prime p₀= 2239308453788749547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 34 2 82 2 16 2 16 2 (?)
a_n: 0 2 24 26 84 86 120 122 204 206 222 224 240 242
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: 242
Found by: Rantanplan
db: batch=81, k=14, 22 58 34 82 16 16

SPT(16)	2239306731165445237	0 24 46 66 70 102 130 136 150 156 184 216 220 240 262 286	-1722623304310
STPT(10)	2239307166044867099	0 2 18 20 30 32 42 44 60 62	-1287743882448
STPT(10)	2239307343397072061	0 2 36 38 78 80 120 122 156 158	-1110391677486
SPT(16)	2239307559098772653	0 14 50 54 56 78 138 210 254 326 386 408 410 414 450 464	-894689976894
SPT(16)	2239308092796846917	0 2 60 62 66 96 114 126 170 182 200 230 234 236 294 296	-360991902630
SPT(16)	2239308449152943677	0 54 120 126 166 192 196 244 252 300 304 330 370 376 442 496	-4635805870
SPT(16)	2239308536371972069	0 4 30 42 58 72 112 114 118 120 160 174 190 202 228 232	82583222522
SPT(16)	2239308551507284849	0 12 34 138 154 160 172 180 322 330 342 348 364 468 490 502	97718535302
SPT(16)	2239309100569605931	0 10 40 42 96 102 130 142 180 192 220 226 280 282 312 322	646780856384
TPT(14)	2239309162125328649	0 2 12 14 30 32 198 200 210 212 312 314 360 362	708336579102
STPT(10)	2239309199658053849	0 2 18 20 30 32 42 44 60 62	745869304302