Prime p₀= 2854332908619137987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 220 2 28 2 58 2 106 2 58 2 (?)
a_n: 0 2 42 44 264 266 294 296 354 356 462 464 522 524
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: 524
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 40 220 28 58 106 58

SPT(16)	2854331338272850067	0 14 42 66 80 126 132 134 162 164 170 216 230 254 282 296	-1570346287920
STPT(10)	2854331501190022307	0 2 24 26 42 44 60 62 84 86	-1407429115680
SPT(16)	2854331548156841639	0 18 60 102 122 132 150 188 222 260 278 288 308 350 392 410	-1360462296348
SPT(18)	2854331634507497489	0 2 44 108 120 198 218 254 308 354 408 444 464 542 554 618 660 662	-1274111640498
STPT(10)	2854331734949734181	0 2 6 8 18 20 30 32 36 38	-1173669403806
SPT(16)	2854332319146522701	0 2 6 60 86 102 126 182 186 242 266 282 308 362 366 368	-589472615286
SPT(16)	2854333264715241457	0 10 12 22 114 136 162 184 192 214 240 262 354 364 366 376	356096103470
SPT(16)	2854333378134670781	0 38 68 90 96 182 216 228 230 242 276 362 368 390 420 458	469515532794
SPT(18)	2854333714245974827	0 16 54 72 102 114 136 150 172 234 256 270 292 304 334 352 390 406	805626836840
SPT(16)	2854334215203249073	0 64 78 84 100 114 120 124 144 148 154 168 184 190 204 268	1306584111086
SPT(16)	2854335096790562269	0 22 34 84 100 114 124 148 174 198 208 222 238 288 300 322	2188171424282