Prime p₀= 2384960231204876651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 28 2 136 2 28 2 28 2 (?)
a_n: 0 2 6 8 30 32 60 62 198 200 228 230 258 260
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: 260
Found by: MarkRBright
db: batch=81, k=14, 4 22 28 136 28 28

SPT(16)	2384958175062941741	0 60 86 102 126 180 236 240 242 246 302 356 380 396 422 482	-2056141934910
SPT(16)	2384958266849081611	0 18 78 112 136 156 178 202 396 420 442 462 486 520 580 598	-1964355795040
TPT(14)	2384958852842247749	0 2 18 20 72 74 90 92 132 134 168 170 342 344	-1378362628902
SPT(16)	2384959000477233769	0 12 52 72 112 120 172 220 240 288 340 348 388 408 448 460	-1230727642882
SPT(16)	2384959301839077511	0 30 52 58 60 100 126 148 150 172 198 238 240 246 268 298	-929365799140
SPT(16)	2384959411490821441	0 58 66 100 112 160 162 168 190 196 198 246 258 292 300 358	-819714055210
STPT(10)	2384960357339827427	0 2 30 32 42 44 54 56 84 86	126134950776
SPT(16)	2384960843056847567	0 36 50 84 180 204 246 264 266 284 326 350 446 480 494 530	611851970916
SPT(16)	2384961573332756489	0 78 128 170 180 218 222 234 308 320 324 362 372 414 464 542	1342127879838
STPT(10)	2384961891342425951	0 2 6 8 108 110 210 212 216 218	1660137549300
STPT(10)	2384962051751455901	0 2 6 8 48 50 90 92 96 98	1820546579250