Prime p₀= 1856302199542788071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 34 2 40 2 40 2 34 2 40 2 (?)
a_n: 0 2 60 62 96 98 138 140 180 182 216 218 258 260
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: 260
Found by: [AF>WildWildWest] RLDF
db: batch=79, k=14, 58 34 40 40 34 40

SPT(20)	1856300805486743171	0 12 36 62 122 162 246 272 278 290 348 360 366 392 476 516 576 602 626 638	-1394056044900
TPT(14)	1856301151671166001	0 2 18 20 48 50 90 92 138 140 168 170 216 218	-1047871622070
SPT(16)	1856301152213996113	0 10 16 30 136 160 204 226 294 316 360 384 490 504 510 520	-1047328791958
SPT(16)	1856301549541473367	0 12 40 90 126 132 144 156 340 352 364 370 406 456 484 496	-650001314704
TPT(14)	1856301749413928741	0 2 108 110 156 158 288 290 330 332 390 392 408 410	-450128859330
STPT(10)	1856301994686500069	0 2 42 44 60 62 78 80 120 122	-204856288002
STPT(10)	1856302199542788131	0 2 36 38 78 80 120 122 156 158	60
STPT(10)	1856302200026615189	0 2 30 32 60 62 90 92 120 122	483827118
SPT(16)	1856302246655464357	0 40 46 70 100 102 142 150 172 180 220 222 252 276 282 322	47112676286
STPT(10)	1856302376540155601	0 2 30 32 78 80 126 128 156 158	176997367530
SPT(16)	1856302378215334453	0 48 84 118 130 138 154 160 174 180 196 204 216 250 286 334	178672546382