Prime p₀= 2687730663374030291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 58 2 28 2 4 2 70 2 (?)
a_n: 0 2 90 92 120 122 180 182 210 212 216 218 288 290
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: 290
Found by: RFGuy_KCCO
db: batch=82, k=14, 88 28 58 28 4 70

SPT(16)	2687728994378394497	0 24 84 90 102 104 114 254 270 410 420 422 434 440 500 524	-1668995635794
TPT(14)	2687729107098158909	0 2 30 32 60 62 132 134 198 200 240 242 282 284	-1556275871382
SPT(16)	2687729166567603967	0 54 64 76 124 142 180 202 204 226 264 282 330 342 352 406	-1496806426324
SPT(16)	2687729286829673887	0 16 124 180 192 202 250 262 264 276 324 334 346 402 510 526	-1376544356404
SPT(16)	2687729319746311613	0 36 66 146 168 204 218 230 234 246 260 296 318 398 428 464	-1343627718678
SPT(16)	2687730422889924343	0 24 40 46 70 84 96 120 130 154 166 180 204 210 226 250	-240484105948
SPT(16)	2687730911404767713	0 6 30 116 128 146 150 156 200 206 210 228 240 326 350 356	248030737422
SPT(16)	2687730989663138957	0 24 30 42 84 104 132 150 206 224 252 272 314 326 332 356	326289108666
STPT(10)	2687731361657897207	0 2 42 44 72 74 102 104 144 146	698283866916
STPT(10)	2687731693690109819	0 2 18 20 30 32 42 44 60 62	1030316079528
SPT(16)	2687731926844073491	0 12 30 42 72 100 120 222 226 328 348 376 406 418 436 448	1263470043200