Prime p₀= 2628346413664996259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 28 2 76 2 28 2 16 2 (?)
a_n: 0 2 30 32 72 74 102 104 180 182 210 212 228 230
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: 230
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 40 28 76 28 16

STPT(10)	2628345253273505609	0 2 18 20 30 32 42 44 60 62	-1160391490650
TPT(14)	2628345372374529347	0 2 24 26 72 74 114 116 150 152 192 194 204 206	-1041290466912
SPT(16)	2628345620708846257	0 10 16 52 90 114 154 162 274 282 322 346 384 420 426 436	-792956150002
STPT(10)	2628345695184276251	0 2 30 32 60 62 90 92 120 122	-718480720008
SPT(16)	2628345795238126261	0 6 46 88 90 102 106 168 250 312 316 328 330 372 412 418	-618426869998
STPT(10)	2628346209543487397	0 2 30 32 42 44 54 56 84 86	-204121508862
STPT(10)	2628346687205977037	0 2 24 26 42 44 60 62 84 86	273540980778
SPT(16)	2628347058285747619	0 10 34 42 58 78 84 118 144 178 184 204 220 228 252 262	644620751360
STPT(10)	2628347068902972419	0 2 30 32 60 62 90 92 120 122	655237976160
SPT(16)	2628347356001089249	0 24 70 90 108 118 148 154 198 204 234 244 262 282 328 352	942336092990
SPT(16)	2628347665153555109	0 14 42 48 78 114 144 150 182 188 218 254 284 290 318 332	1251488558850