Prime p₀= 779619540714151847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 94 2 70 2 40 2 136 2 10 2 (?)
a_n: 0 2 54 56 150 152 222 224 264 266 402 404 414 416
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: 416
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 52 94 70 40 136 10

SPT(16)	779618589619948081	0 22 78 112 126 262 268 292 306 330 336 472 486 520 576 598	-951094203766
SPT(16)	779618654723180971	0 88 96 136 142 150 186 196 252 262 298 306 312 352 360 448	-885990970876
STPT(10)	779618691455959637	0 2 60 62 72 74 84 86 144 146	-849258192210
STPT(10)	779618813811422909	0 2 18 20 60 62 102 104 120 122	-726902728938
STPT(10)	779619153279869657	0 2 60 62 72 74 84 86 144 146	-387434282190
STPT(10)	779619335187178061	0 2 36 38 78 80 120 122 156 158	-205526973786
SPT(16)	779620101266997167	0 36 60 74 134 176 210 234 242 266 300 342 402 416 440 476	560552845320
SPT(16)	779620220172688607	0 6 26 66 146 150 164 234 272 342 356 360 440 480 500 506	679458536760
SPT(16)	779620510980959563	0 28 100 126 130 144 156 178 186 208 220 234 238 264 336 364	970266807716
SPT(16)	779620688962672433	0 6 8 38 48 84 140 204 260 324 380 416 426 456 458 464	1148248520586
SPT(16)	779620819584624343	0 18 28 30 36 40 58 78 106 126 144 148 154 156 166 184	1278870472496