Prime p₀= 2913729927842459699 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 10 2 16 2 10 2 58 2 (?)
a_n: 0 2 42 44 108 110 120 122 138 140 150 152 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=14, 40 64 10 16 10 58

SPT(16)	2913729055765254989	0 12 54 72 78 108 114 150 152 188 194 224 230 248 290 302	-872077204710
STPT(10)	2913729140247220619	0 2 18 20 60 62 102 104 120 122	-787595239080
SPT(16)	2913729306438250871	0 26 30 42 60 72 120 140 198 218 266 278 296 308 312 338	-621404208828
TPT(14)	2913729324204383717	0 2 84 86 102 104 114 116 180 182 222 224 282 284	-603638075982
SPT(16)	2913729601448684059	0 10 28 48 52 54 60 70 72 82 88 90 94 114 132 142	-326393775640
SPT(16)	2913729724228842017	0 14 42 92 174 200 204 210 374 380 384 410 492 542 570 584	-203613617682
TPT(14)	2913730104811784351	0 2 36 38 60 62 78 80 198 200 210 212 216 218	176969324652
SPT(18)	2913730679698514387	0 12 24 32 54 122 144 150 200 216 266 272 294 362 384 392 404 416	751856054688
SPT(16)	2913730829212055353	0 36 120 130 160 174 196 204 256 264 286 300 330 340 424 460	901369595654
STPT(10)	2913730899164238887	0 2 30 32 42 44 54 56 84 86	971321779188
STPT(10)	2913730981867750727	0 2 42 44 72 74 102 104 144 146	1054025291028