Prime p₀= 2276906344717800671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 28 2 40 2 40 2 16 2 (?)
a_n: 0 2 30 32 36 38 66 68 108 110 150 152 168 170
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: 170
Found by: JayPi
db: batch=81, k=14, 28 4 28 40 40 16

SPT(16)	2276904812068767763	0 16 78 94 114 126 138 150 154 166 178 190 210 226 288 304	-1532649032908
SPT(16)	2276904821739256301	0 8 62 110 126 138 146 182 186 222 230 242 258 306 360 368	-1522978544370
SPT(16)	2276904898284336847	0 10 16 46 72 106 112 216 256 360 366 400 426 456 462 472	-1446433463824
STPT(10)	2276905045435899761	0 2 36 38 78 80 120 122 156 158	-1299281900910
STPT(10)	2276905173913612367	0 2 30 32 72 74 114 116 144 146	-1170804188304
SPT(16)	2276906120259054931	0 28 58 78 96 132 148 162 196 210 226 262 280 300 330 358	-224458745740
TPT(14)	2276906606793143951	0 2 66 68 90 92 108 110 138 140 306 308 378 380	262075343280
STPT(10)	2276906622343614977	0 2 42 44 72 74 102 104 144 146	277625814306
SPT(18)	2276906804335481623	0 78 90 118 148 174 180 198 246 328 376 394 400 426 456 484 496 574	459617680952
SPT(16)	2276907050411095369	0 10 22 28 60 82 102 112 120 130 150 172 204 210 222 232	705693294698
TPT(14)	2276907239039187959	0 2 12 14 42 44 78 80 138 140 150 152 162 164	894321387288