Prime p₀= 1085020776745164827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 190 2 46 2 28 2 10 2 196 2 (?)
a_n: 0 2 12 14 204 206 252 254 282 284 294 296 492 494
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: 494
Found by: crashtech
db: batch=76, k=14, 10 190 46 28 10 196

SPT(16)	1085020153562779219	0 10 42 88 112 118 120 178 252 310 312 318 342 388 420 430	-623182385608
SPT(16)	1085020276892111513	0 78 98 120 200 218 228 246 290 308 318 336 416 438 458 536	-499853053314
SPT(16)	1085020527238219213	0 10 48 70 130 148 168 208 258 298 318 336 396 418 456 466	-249506945614
STPT(10)	1085020587929851421	0 2 30 32 60 62 90 92 120 122	-188815313406
SPT(16)	1085020669852328441	0 8 12 50 56 86 96 108 170 182 192 222 228 266 270 278	-106892836386
TPT(14)	1085020672974934469	0 2 72 74 270 272 408 410 438 440 468 470 492 494	-103770230358
SPT(16)	1085020889317499917	0 6 70 72 76 102 136 172 180 216 250 276 280 282 346 352	112572335090
SPT(16)	1085021098316831449	0 4 34 72 148 154 168 202 210 244 258 264 340 378 408 412	321571666622
SPT(16)	1085021920454093771	0 6 128 132 158 162 188 210 218 240 266 270 296 300 422 428	1143708928944
STPT(10)	1085022159669908417	0 2 24 26 42 44 60 62 84 86	1382924743590
TPT(14)	1085022301655181299	0 2 18 20 42 44 168 170 198 200 222 224 282 284	1524910016472