Prime p₀= 2708219875137798599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 40 2 88 2 40 2 58 2 (?)
a_n: 0 2 12 14 48 50 90 92 180 182 222 224 282 284
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: 284
Found by: conf [MM]
db: batch=82, k=14, 10 34 40 88 40 58

SPT(13)	2708219189334741239	0 24 108 150 174 198 204 210 234 258 300 384 408	-685803057360
SPT(16)	2708219318649604871	0 2 20 30 42 60 66 80 132 146 152 170 182 192 210 212	-556488193728
SPT(16)	2708219463916535171	0 50 56 78 108 110 162 198 260 296 348 350 380 402 408 458	-411221263428
TPT(14)	2708219470573863809	0 2 78 80 132 134 168 170 222 224 258 260 300 302	-404563934790
SPT(16)	2708219538540786623	0 8 26 56 194 216 248 264 290 306 338 360 498 528 546 554	-336597011976
SPT(16)	2708219858032972523	0 14 74 78 84 114 168 186 188 206 260 290 296 300 360 374	-17104826076
STPT(12)	2708220243344207477	0 2 12 14 30 32 114 116 132 134 144 146	368206408878
STPT(10)	2708221042762474817	0 2 30 32 42 44 54 56 84 86	1167624676218
STPT(10)	2708221094033547119	0 2 18 20 30 32 42 44 60 62	1218895748520
SPT(16)	2708221169363039999	0 60 62 92 104 110 114 128 144 158 162 168 180 210 212 272	1294225241400
SPT(16)	2708221211476224751	0 40 42 48 82 102 138 222 328 412 448 468 502 508 510 550	1336338426152