Prime p₀= 2342881457937310181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 70 2 46 2 40 2 46 2 250 2 (?)
a_n: 0 2 6 8 78 80 126 128 168 170 216 218 468 470
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: 470
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 4 70 46 40 46 250

TPT(14)	2342879689261194197	0 2 30 32 102 104 162 164 252 254 312 314 342 344	-1768676115984
STPT(10)	2342879951794589531	0 2 36 38 78 80 120 122 156 158	-1506142720650
SPT(16)	2342880460599972191	0 8 30 72 78 92 108 122 126 140 156 170 176 218 240 248	-997337337990
SPT(16)	2342880469063979387	0 44 54 110 180 204 242 254 312 324 362 386 456 512 522 566	-988873330794
TPT(14)	2342880854397623789	0 2 30 32 132 134 138 140 168 170 228 230 240 242	-603539686392
SPT(16)	2342881248312424597	0 4 24 46 64 70 136 144 172 180 246 252 270 292 312 316	-209624885584
SPT(16)	2342881622282749829	0 50 72 84 108 110 114 128 204 218 222 224 248 260 282 332	164345439648
SPT(16)	2342881815735161861	0 18 26 72 90 98 128 138 200 210 240 248 266 312 320 338	357797851680
STPT(10)	2342882475618951359	0 2 18 20 30 32 42 44 60 62	1017681641178
STPT(10)	2342883003568813829	0 2 48 50 90 92 132 134 180 182	1545631503648
SPT(16)	2342883566435225089	0 42 58 78 118 162 190 264 388 462 490 534 574 594 610 652	2108497914908